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Finding the Fourth Proportional to 898.03, 1,347.35 and 590.03

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Solution

The fourth proportional to 898.03, 1,347.35 and 590.03 is: 885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.03 : 1,347.35 = 590.03 : x
  2. Step 2: Convert to fraction form
    898.03/1,347.35 = 590.03/x
  3. Step 3: Cross multiply
    898.03x = 1,347.35 × 590.03
  4. Step 4: Simplify right side
    898.03x = 794,976.92
  5. Step 5: Solve for x
    x = 794,976.92/898.03
  6. Step 6: Final answer
    x = 885.25

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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.