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Finding the Fourth Proportional to 1,115.10, 1,538.19 and 672.84

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Solution

The fourth proportional to 1,115.10, 1,538.19 and 672.84 is: 928.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.10 : 1,538.19 = 672.84 : x
  2. Step 2: Convert to fraction form
    1,115.10/1,538.19 = 672.84/x
  3. Step 3: Cross multiply
    1,115.10x = 1,538.19 × 672.84
  4. Step 4: Simplify right side
    1,115.10x = 1,034,955.76
  5. Step 5: Solve for x
    x = 1,034,955.76/1,115.10
  6. Step 6: Final answer
    x = 928.13

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1.5x scale

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.