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Finding the Fourth Proportional to 1,148.42, 1,585.56 and 756.08

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Solution

The fourth proportional to 1,148.42, 1,585.56 and 756.08 is: 1,043.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.42 : 1,585.56 = 756.08 : x
  2. Step 2: Convert to fraction form
    1,148.42/1,585.56 = 756.08/x
  3. Step 3: Cross multiply
    1,148.42x = 1,585.56 × 756.08
  4. Step 4: Simplify right side
    1,148.42x = 1,198,810.20
  5. Step 5: Solve for x
    x = 1,198,810.20/1,148.42
  6. Step 6: Final answer
    x = 1,043.88

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