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Finding the Fourth Proportional to 738.71, 1,019.42 and 407.14

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Solution

The fourth proportional to 738.71, 1,019.42 and 407.14 is: 561.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.71 : 1,019.42 = 407.14 : x
  2. Step 2: Convert to fraction form
    738.71/1,019.42 = 407.14/x
  3. Step 3: Cross multiply
    738.71x = 1,019.42 × 407.14
  4. Step 4: Simplify right side
    738.71x = 415,050.48
  5. Step 5: Solve for x
    x = 415,050.48/738.71
  6. Step 6: Final answer
    x = 561.86

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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.