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Finding the Fourth Proportional to 1,084.59, 1,497.34 and 1,024.45

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Solution

The fourth proportional to 1,084.59, 1,497.34 and 1,024.45 is: 1,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.59 : 1,497.34 = 1,024.45 : x
  2. Step 2: Convert to fraction form
    1,084.59/1,497.34 = 1,024.45/x
  3. Step 3: Cross multiply
    1,084.59x = 1,497.34 × 1,024.45
  4. Step 4: Simplify right side
    1,084.59x = 1,533,941.74
  5. Step 5: Solve for x
    x = 1,533,941.74/1,084.59
  6. Step 6: Final answer
    x = 1,414.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.