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Finding the Fourth Proportional to 1,417.52, 1,955.45 and 920.43

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Solution

The fourth proportional to 1,417.52, 1,955.45 and 920.43 is: 1,269.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.52 : 1,955.45 = 920.43 : x
  2. Step 2: Convert to fraction form
    1,417.52/1,955.45 = 920.43/x
  3. Step 3: Cross multiply
    1,417.52x = 1,955.45 × 920.43
  4. Step 4: Simplify right side
    1,417.52x = 1,799,857.14
  5. Step 5: Solve for x
    x = 1,799,857.14/1,417.52
  6. Step 6: Final answer
    x = 1,269.73

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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.