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Finding the Fourth Proportional to 1,060.08, 1,590.69 and 410.82

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Solution

The fourth proportional to 1,060.08, 1,590.69 and 410.82 is: 616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.08 : 1,590.69 = 410.82 : x
  2. Step 2: Convert to fraction form
    1,060.08/1,590.69 = 410.82/x
  3. Step 3: Cross multiply
    1,060.08x = 1,590.69 × 410.82
  4. Step 4: Simplify right side
    1,060.08x = 653,487.27
  5. Step 5: Solve for x
    x = 653,487.27/1,060.08
  6. Step 6: Final answer
    x = 616.45

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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.