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Finding the Fourth Proportional to 1,098.26, 1,514.70 and 714.86

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Solution

The fourth proportional to 1,098.26, 1,514.70 and 714.86 is: 985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.26 : 1,514.70 = 714.86 : x
  2. Step 2: Convert to fraction form
    1,098.26/1,514.70 = 714.86/x
  3. Step 3: Cross multiply
    1,098.26x = 1,514.70 × 714.86
  4. Step 4: Simplify right side
    1,098.26x = 1,082,798.44
  5. Step 5: Solve for x
    x = 1,082,798.44/1,098.26
  6. Step 6: Final answer
    x = 985.92

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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.