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Finding the Fourth Proportional to 1,125.25, 1,552.86 and 659.50

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Solution

The fourth proportional to 1,125.25, 1,552.86 and 659.50 is: 910.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.25 : 1,552.86 = 659.50 : x
  2. Step 2: Convert to fraction form
    1,125.25/1,552.86 = 659.50/x
  3. Step 3: Cross multiply
    1,125.25x = 1,552.86 × 659.50
  4. Step 4: Simplify right side
    1,125.25x = 1,024,111.17
  5. Step 5: Solve for x
    x = 1,024,111.17/1,125.25
  6. Step 6: Final answer
    x = 910.12

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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.