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Finding the Fourth Proportional to 1,124.81, 1,686.06 and 508.96

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Solution

The fourth proportional to 1,124.81, 1,686.06 and 508.96 is: 762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.81 : 1,686.06 = 508.96 : x
  2. Step 2: Convert to fraction form
    1,124.81/1,686.06 = 508.96/x
  3. Step 3: Cross multiply
    1,124.81x = 1,686.06 × 508.96
  4. Step 4: Simplify right side
    1,124.81x = 858,128.67
  5. Step 5: Solve for x
    x = 858,128.67/1,124.81
  6. Step 6: Final answer
    x = 762.91

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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.