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Finding the Fourth Proportional to 1,060.06, 1,590.15 and 410.74

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Solution

The fourth proportional to 1,060.06, 1,590.15 and 410.74 is: 616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.06 : 1,590.15 = 410.74 : x
  2. Step 2: Convert to fraction form
    1,060.06/1,590.15 = 410.74/x
  3. Step 3: Cross multiply
    1,060.06x = 1,590.15 × 410.74
  4. Step 4: Simplify right side
    1,060.06x = 653,138.21
  5. Step 5: Solve for x
    x = 653,138.21/1,060.06
  6. Step 6: Final answer
    x = 616.13

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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.