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Finding the Fourth Proportional to 1,002.69, 1,502.16 and 590.60

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Solution

The fourth proportional to 1,002.69, 1,502.16 and 590.60 is: 884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.69 : 1,502.16 = 590.60 : x
  2. Step 2: Convert to fraction form
    1,002.69/1,502.16 = 590.60/x
  3. Step 3: Cross multiply
    1,002.69x = 1,502.16 × 590.60
  4. Step 4: Simplify right side
    1,002.69x = 887,168.19
  5. Step 5: Solve for x
    x = 887,168.19/1,002.69
  6. Step 6: Final answer
    x = 884.79

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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.