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Finding the Fourth Proportional to 1,125.61, 1,551.38 and 751.99

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Solution

The fourth proportional to 1,125.61, 1,551.38 and 751.99 is: 1,036.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.61 : 1,551.38 = 751.99 : x
  2. Step 2: Convert to fraction form
    1,125.61/1,551.38 = 751.99/x
  3. Step 3: Cross multiply
    1,125.61x = 1,551.38 × 751.99
  4. Step 4: Simplify right side
    1,125.61x = 1,166,622.25
  5. Step 5: Solve for x
    x = 1,166,622.25/1,125.61
  6. Step 6: Final answer
    x = 1,036.44

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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.