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Finding the Fourth Proportional to 738.72, 1,019.46 and 407.17

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Solution

The fourth proportional to 738.72, 1,019.46 and 407.17 is: 561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.72 : 1,019.46 = 407.17 : x
  2. Step 2: Convert to fraction form
    738.72/1,019.46 = 407.17/x
  3. Step 3: Cross multiply
    738.72x = 1,019.46 × 407.17
  4. Step 4: Simplify right side
    738.72x = 415,093.53
  5. Step 5: Solve for x
    x = 415,093.53/738.72
  6. Step 6: Final answer
    x = 561.91

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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.