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Finding the Fourth Proportional to 1,127.36, 1,689.26 and 895.66

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Solution

The fourth proportional to 1,127.36, 1,689.26 and 895.66 is: 1,342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.36 : 1,689.26 = 895.66 : x
  2. Step 2: Convert to fraction form
    1,127.36/1,689.26 = 895.66/x
  3. Step 3: Cross multiply
    1,127.36x = 1,689.26 × 895.66
  4. Step 4: Simplify right side
    1,127.36x = 1,513,002.61
  5. Step 5: Solve for x
    x = 1,513,002.61/1,127.36
  6. Step 6: Final answer
    x = 1,342.08

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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.