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Finding the Fourth Proportional to 1,155.46, 1,594.45 and 658.11

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Solution

The fourth proportional to 1,155.46, 1,594.45 and 658.11 is: 908.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.46 : 1,594.45 = 658.11 : x
  2. Step 2: Convert to fraction form
    1,155.46/1,594.45 = 658.11/x
  3. Step 3: Cross multiply
    1,155.46x = 1,594.45 × 658.11
  4. Step 4: Simplify right side
    1,155.46x = 1,049,323.49
  5. Step 5: Solve for x
    x = 1,049,323.49/1,155.46
  6. Step 6: Final answer
    x = 908.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.