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Finding the Fourth Proportional to 1,298.62, 1,791.33 and 924.77

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Solution

The fourth proportional to 1,298.62, 1,791.33 and 924.77 is: 1,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.62 : 1,791.33 = 924.77 : x
  2. Step 2: Convert to fraction form
    1,298.62/1,791.33 = 924.77/x
  3. Step 3: Cross multiply
    1,298.62x = 1,791.33 × 924.77
  4. Step 4: Simplify right side
    1,298.62x = 1,656,568.24
  5. Step 5: Solve for x
    x = 1,656,568.24/1,298.62
  6. Step 6: Final answer
    x = 1,275.64

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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.