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Finding the Fourth Proportional to 738.86, 1,019.66 and 424.11

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Solution

The fourth proportional to 738.86, 1,019.66 and 424.11 is: 585.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.86 : 1,019.66 = 424.11 : x
  2. Step 2: Convert to fraction form
    738.86/1,019.66 = 424.11/x
  3. Step 3: Cross multiply
    738.86x = 1,019.66 × 424.11
  4. Step 4: Simplify right side
    738.86x = 432,449.71
  5. Step 5: Solve for x
    x = 432,449.71/738.86
  6. Step 6: Final answer
    x = 585.30

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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.