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Finding the Fourth Proportional to 1,355.76, 2,034.18 and 625.50

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Solution

The fourth proportional to 1,355.76, 2,034.18 and 625.50 is: 938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.76 : 2,034.18 = 625.50 : x
  2. Step 2: Convert to fraction form
    1,355.76/2,034.18 = 625.50/x
  3. Step 3: Cross multiply
    1,355.76x = 2,034.18 × 625.50
  4. Step 4: Simplify right side
    1,355.76x = 1,272,379.59
  5. Step 5: Solve for x
    x = 1,272,379.59/1,355.76
  6. Step 6: Final answer
    x = 938.50

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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.