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Finding the Fourth Proportional to 740.70, 1,022.49 and 563.69

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Solution

The fourth proportional to 740.70, 1,022.49 and 563.69 is: 778.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.70 : 1,022.49 = 563.69 : x
  2. Step 2: Convert to fraction form
    740.70/1,022.49 = 563.69/x
  3. Step 3: Cross multiply
    740.70x = 1,022.49 × 563.69
  4. Step 4: Simplify right side
    740.70x = 576,362.28
  5. Step 5: Solve for x
    x = 576,362.28/740.70
  6. Step 6: Final answer
    x = 778.13

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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.