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Finding the Fourth Proportional to 1,114.64, 1,537.99 and 672.57

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Solution

The fourth proportional to 1,114.64, 1,537.99 and 672.57 is: 928.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.64 : 1,537.99 = 672.57 : x
  2. Step 2: Convert to fraction form
    1,114.64/1,537.99 = 672.57/x
  3. Step 3: Cross multiply
    1,114.64x = 1,537.99 × 672.57
  4. Step 4: Simplify right side
    1,114.64x = 1,034,404.25
  5. Step 5: Solve for x
    x = 1,034,404.25/1,114.64
  6. Step 6: Final answer
    x = 928.01

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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.