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Finding the Fourth Proportional to 1,124.93, 1,553.13 and 705.90

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Solution

The fourth proportional to 1,124.93, 1,553.13 and 705.90 is: 974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.93 : 1,553.13 = 705.90 : x
  2. Step 2: Convert to fraction form
    1,124.93/1,553.13 = 705.90/x
  3. Step 3: Cross multiply
    1,124.93x = 1,553.13 × 705.90
  4. Step 4: Simplify right side
    1,124.93x = 1,096,354.47
  5. Step 5: Solve for x
    x = 1,096,354.47/1,124.93
  6. Step 6: Final answer
    x = 974.60

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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.