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Finding the Fourth Proportional to 1,125.17, 1,687.68 and 661.50

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Solution

The fourth proportional to 1,125.17, 1,687.68 and 661.50 is: 992.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.17 : 1,687.68 = 661.50 : x
  2. Step 2: Convert to fraction form
    1,125.17/1,687.68 = 661.50/x
  3. Step 3: Cross multiply
    1,125.17x = 1,687.68 × 661.50
  4. Step 4: Simplify right side
    1,125.17x = 1,116,400.32
  5. Step 5: Solve for x
    x = 1,116,400.32/1,125.17
  6. Step 6: Final answer
    x = 992.21

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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.