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Finding the Fourth Proportional to 1,126.66, 1,543.54 and 1,084.60

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Solution

The fourth proportional to 1,126.66, 1,543.54 and 1,084.60 is: 1,485.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.66 : 1,543.54 = 1,084.60 : x
  2. Step 2: Convert to fraction form
    1,126.66/1,543.54 = 1,084.60/x
  3. Step 3: Cross multiply
    1,126.66x = 1,543.54 × 1,084.60
  4. Step 4: Simplify right side
    1,126.66x = 1,674,123.48
  5. Step 5: Solve for x
    x = 1,674,123.48/1,126.66
  6. Step 6: Final answer
    x = 1,485.92

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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.