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Finding the Fourth Proportional to 1,060.57, 1,590.72 and 410.86

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Solution

The fourth proportional to 1,060.57, 1,590.72 and 410.86 is: 616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.57 : 1,590.72 = 410.86 : x
  2. Step 2: Convert to fraction form
    1,060.57/1,590.72 = 410.86/x
  3. Step 3: Cross multiply
    1,060.57x = 1,590.72 × 410.86
  4. Step 4: Simplify right side
    1,060.57x = 653,563.22
  5. Step 5: Solve for x
    x = 653,563.22/1,060.57
  6. Step 6: Final answer
    x = 616.24

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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.