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Finding the Fourth Proportional to 1,125.64, 1,553.32 and 706

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Solution

The fourth proportional to 1,125.64, 1,553.32 and 706 is: 974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.64 : 1,553.32 = 706 : x
  2. Step 2: Convert to fraction form
    1,125.64/1,553.32 = 706/x
  3. Step 3: Cross multiply
    1,125.64x = 1,553.32 × 706
  4. Step 4: Simplify right side
    1,125.64x = 1,096,643.92
  5. Step 5: Solve for x
    x = 1,096,643.92/1,125.64
  6. Step 6: Final answer
    x = 974.24

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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.