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Finding the Fourth Proportional to 1,156.01, 1,594.55 and 658.54

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Solution

The fourth proportional to 1,156.01, 1,594.55 and 658.54 is: 908.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.01 : 1,594.55 = 658.54 : x
  2. Step 2: Convert to fraction form
    1,156.01/1,594.55 = 658.54/x
  3. Step 3: Cross multiply
    1,156.01x = 1,594.55 × 658.54
  4. Step 4: Simplify right side
    1,156.01x = 1,050,072.62
  5. Step 5: Solve for x
    x = 1,050,072.62/1,156.01
  6. Step 6: Final answer
    x = 908.36

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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.