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Finding the Fourth Proportional to 740.10, 1,020.69 and 592.68

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Solution

The fourth proportional to 740.10, 1,020.69 and 592.68 is: 817.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.10 : 1,020.69 = 592.68 : x
  2. Step 2: Convert to fraction form
    740.10/1,020.69 = 592.68/x
  3. Step 3: Cross multiply
    740.10x = 1,020.69 × 592.68
  4. Step 4: Simplify right side
    740.10x = 604,942.55
  5. Step 5: Solve for x
    x = 604,942.55/740.10
  6. Step 6: Final answer
    x = 817.38

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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.