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Finding the Fourth Proportional to 1,125.23, 1,687.86 and 476.42

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Solution

The fourth proportional to 1,125.23, 1,687.86 and 476.42 is: 714.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.23 : 1,687.86 = 476.42 : x
  2. Step 2: Convert to fraction form
    1,125.23/1,687.86 = 476.42/x
  3. Step 3: Cross multiply
    1,125.23x = 1,687.86 × 476.42
  4. Step 4: Simplify right side
    1,125.23x = 804,130.26
  5. Step 5: Solve for x
    x = 804,130.26/1,125.23
  6. Step 6: Final answer
    x = 714.64

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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.