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Finding the Fourth Proportional to 1,084.86, 1,487.36 and 1,065.15

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Solution

The fourth proportional to 1,084.86, 1,487.36 and 1,065.15 is: 1,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.86 : 1,487.36 = 1,065.15 : x
  2. Step 2: Convert to fraction form
    1,084.86/1,487.36 = 1,065.15/x
  3. Step 3: Cross multiply
    1,084.86x = 1,487.36 × 1,065.15
  4. Step 4: Simplify right side
    1,084.86x = 1,584,264.17
  5. Step 5: Solve for x
    x = 1,584,264.17/1,084.86
  6. Step 6: Final answer
    x = 1,460.34

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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.