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Finding the Fourth Proportional to 1,123.43, 1,685.16 and 465.21

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Solution

The fourth proportional to 1,123.43, 1,685.16 and 465.21 is: 697.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.43 : 1,685.16 = 465.21 : x
  2. Step 2: Convert to fraction form
    1,123.43/1,685.16 = 465.21/x
  3. Step 3: Cross multiply
    1,123.43x = 1,685.16 × 465.21
  4. Step 4: Simplify right side
    1,123.43x = 783,953.28
  5. Step 5: Solve for x
    x = 783,953.28/1,123.43
  6. Step 6: Final answer
    x = 697.82

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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.