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Finding the Fourth Proportional to 988.52, 1,364.18 and 590.18

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Solution

The fourth proportional to 988.52, 1,364.18 and 590.18 is: 814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.52 : 1,364.18 = 590.18 : x
  2. Step 2: Convert to fraction form
    988.52/1,364.18 = 590.18/x
  3. Step 3: Cross multiply
    988.52x = 1,364.18 × 590.18
  4. Step 4: Simplify right side
    988.52x = 805,101.98
  5. Step 5: Solve for x
    x = 805,101.98/988.52
  6. Step 6: Final answer
    x = 814.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.