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Finding the Fourth Proportional to 1,125.75, 1,686.06 and 920.01

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Solution

The fourth proportional to 1,125.75, 1,686.06 and 920.01 is: 1,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.75 : 1,686.06 = 920.01 : x
  2. Step 2: Convert to fraction form
    1,125.75/1,686.06 = 920.01/x
  3. Step 3: Cross multiply
    1,125.75x = 1,686.06 × 920.01
  4. Step 4: Simplify right side
    1,125.75x = 1,551,192.06
  5. Step 5: Solve for x
    x = 1,551,192.06/1,125.75
  6. Step 6: Final answer
    x = 1,377.92

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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.