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Finding the Fourth Proportional to 1,001.10, 1,500.62 and 590.16

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Solution

The fourth proportional to 1,001.10, 1,500.62 and 590.16 is: 884.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.10 : 1,500.62 = 590.16 : x
  2. Step 2: Convert to fraction form
    1,001.10/1,500.62 = 590.16/x
  3. Step 3: Cross multiply
    1,001.10x = 1,500.62 × 590.16
  4. Step 4: Simplify right side
    1,001.10x = 885,605.90
  5. Step 5: Solve for x
    x = 885,605.90/1,001.10
  6. Step 6: Final answer
    x = 884.63

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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.