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Finding the Fourth Proportional to 1,046.10, 1,566.08 and 773.42

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Solution

The fourth proportional to 1,046.10, 1,566.08 and 773.42 is: 1,157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.10 : 1,566.08 = 773.42 : x
  2. Step 2: Convert to fraction form
    1,046.10/1,566.08 = 773.42/x
  3. Step 3: Cross multiply
    1,046.10x = 1,566.08 × 773.42
  4. Step 4: Simplify right side
    1,046.10x = 1,211,225.90
  5. Step 5: Solve for x
    x = 1,211,225.90/1,046.10
  6. Step 6: Final answer
    x = 1,157.85

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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.