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Finding the Fourth Proportional to 1,097.83, 1,514.31 and 739.53

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Solution

The fourth proportional to 1,097.83, 1,514.31 and 739.53 is: 1,020.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.83 : 1,514.31 = 739.53 : x
  2. Step 2: Convert to fraction form
    1,097.83/1,514.31 = 739.53/x
  3. Step 3: Cross multiply
    1,097.83x = 1,514.31 × 739.53
  4. Step 4: Simplify right side
    1,097.83x = 1,119,877.67
  5. Step 5: Solve for x
    x = 1,119,877.67/1,097.83
  6. Step 6: Final answer
    x = 1,020.08

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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.