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Finding the Fourth Proportional to 1,125.44, 1,684.65 and 715.04

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Solution

The fourth proportional to 1,125.44, 1,684.65 and 715.04 is: 1,070.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.44 : 1,684.65 = 715.04 : x
  2. Step 2: Convert to fraction form
    1,125.44/1,684.65 = 715.04/x
  3. Step 3: Cross multiply
    1,125.44x = 1,684.65 × 715.04
  4. Step 4: Simplify right side
    1,125.44x = 1,204,592.14
  5. Step 5: Solve for x
    x = 1,204,592.14/1,125.44
  6. Step 6: Final answer
    x = 1,070.33

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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.