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Finding the Fourth Proportional to 1,355.70, 2,033.84 and 478.17

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Solution

The fourth proportional to 1,355.70, 2,033.84 and 478.17 is: 717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.70 : 2,033.84 = 478.17 : x
  2. Step 2: Convert to fraction form
    1,355.70/2,033.84 = 478.17/x
  3. Step 3: Cross multiply
    1,355.70x = 2,033.84 × 478.17
  4. Step 4: Simplify right side
    1,355.70x = 972,508.71
  5. Step 5: Solve for x
    x = 972,508.71/1,355.70
  6. Step 6: Final answer
    x = 717.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.