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Finding the Fourth Proportional to 1,117.46, 1,534.95 and 1,084.66

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Solution

The fourth proportional to 1,117.46, 1,534.95 and 1,084.66 is: 1,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.46 : 1,534.95 = 1,084.66 : x
  2. Step 2: Convert to fraction form
    1,117.46/1,534.95 = 1,084.66/x
  3. Step 3: Cross multiply
    1,117.46x = 1,534.95 × 1,084.66
  4. Step 4: Simplify right side
    1,117.46x = 1,664,895.03
  5. Step 5: Solve for x
    x = 1,664,895.03/1,117.46
  6. Step 6: Final answer
    x = 1,489.89

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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.