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Finding the Fourth Proportional to 740.76, 1,023.01 and 563.72

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Solution

The fourth proportional to 740.76, 1,023.01 and 563.72 is: 778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.76 : 1,023.01 = 563.72 : x
  2. Step 2: Convert to fraction form
    740.76/1,023.01 = 563.72/x
  3. Step 3: Cross multiply
    740.76x = 1,023.01 × 563.72
  4. Step 4: Simplify right side
    740.76x = 576,691.20
  5. Step 5: Solve for x
    x = 576,691.20/740.76
  6. Step 6: Final answer
    x = 778.52

Related Problems

Find fourth proportional to 370.38, 511.51 and 281.86
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.