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Finding the Fourth Proportional to 698.13, 1,048.10 and 590.60

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Solution

The fourth proportional to 698.13, 1,048.10 and 590.60 is: 886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.13 : 1,048.10 = 590.60 : x
  2. Step 2: Convert to fraction form
    698.13/1,048.10 = 590.60/x
  3. Step 3: Cross multiply
    698.13x = 1,048.10 × 590.60
  4. Step 4: Simplify right side
    698.13x = 618,999.67
  5. Step 5: Solve for x
    x = 618,999.67/698.13
  6. Step 6: Final answer
    x = 886.65

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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.