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Finding the Fourth Proportional to 1,077.55, 1,612.68 and 895.30

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Solution

The fourth proportional to 1,077.55, 1,612.68 and 895.30 is: 1,339.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.55 : 1,612.68 = 895.30 : x
  2. Step 2: Convert to fraction form
    1,077.55/1,612.68 = 895.30/x
  3. Step 3: Cross multiply
    1,077.55x = 1,612.68 × 895.30
  4. Step 4: Simplify right side
    1,077.55x = 1,443,832.40
  5. Step 5: Solve for x
    x = 1,443,832.40/1,077.55
  6. Step 6: Final answer
    x = 1,339.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.