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Finding the Fourth Proportional to 1,125.34, 1,686.31 and 576.77

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Solution

The fourth proportional to 1,125.34, 1,686.31 and 576.77 is: 864.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.34 : 1,686.31 = 576.77 : x
  2. Step 2: Convert to fraction form
    1,125.34/1,686.31 = 576.77/x
  3. Step 3: Cross multiply
    1,125.34x = 1,686.31 × 576.77
  4. Step 4: Simplify right side
    1,125.34x = 972,613.02
  5. Step 5: Solve for x
    x = 972,613.02/1,125.34
  6. Step 6: Final answer
    x = 864.28

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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.