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Finding the Fourth Proportional to 1,130.32, 1,548.15 and 1,063.90

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Solution

The fourth proportional to 1,130.32, 1,548.15 and 1,063.90 is: 1,457.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.32 : 1,548.15 = 1,063.90 : x
  2. Step 2: Convert to fraction form
    1,130.32/1,548.15 = 1,063.90/x
  3. Step 3: Cross multiply
    1,130.32x = 1,548.15 × 1,063.90
  4. Step 4: Simplify right side
    1,130.32x = 1,647,076.79
  5. Step 5: Solve for x
    x = 1,647,076.79/1,130.32
  6. Step 6: Final answer
    x = 1,457.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.