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Finding the Fourth Proportional to 743.52, 1,025.76 and 510.24

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Solution

The fourth proportional to 743.52, 1,025.76 and 510.24 is: 703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.52 : 1,025.76 = 510.24 : x
  2. Step 2: Convert to fraction form
    743.52/1,025.76 = 510.24/x
  3. Step 3: Cross multiply
    743.52x = 1,025.76 × 510.24
  4. Step 4: Simplify right side
    743.52x = 523,383.78
  5. Step 5: Solve for x
    x = 523,383.78/743.52
  6. Step 6: Final answer
    x = 703.93

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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.