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Finding the Fourth Proportional to 1,123.92, 1,684.62 and 508.14

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Solution

The fourth proportional to 1,123.92, 1,684.62 and 508.14 is: 761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.92 : 1,684.62 = 508.14 : x
  2. Step 2: Convert to fraction form
    1,123.92/1,684.62 = 508.14/x
  3. Step 3: Cross multiply
    1,123.92x = 1,684.62 × 508.14
  4. Step 4: Simplify right side
    1,123.92x = 856,022.81
  5. Step 5: Solve for x
    x = 856,022.81/1,123.92
  6. Step 6: Final answer
    x = 761.64

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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.