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Finding the Fourth Proportional to 1,033, 1,423.84 and 718.72

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Solution

The fourth proportional to 1,033, 1,423.84 and 718.72 is: 990.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033 : 1,423.84 = 718.72 : x
  2. Step 2: Convert to fraction form
    1,033/1,423.84 = 718.72/x
  3. Step 3: Cross multiply
    1,033x = 1,423.84 × 718.72
  4. Step 4: Simplify right side
    1,033x = 1,023,342.28
  5. Step 5: Solve for x
    x = 1,023,342.28/1,033
  6. Step 6: Final answer
    x = 990.65

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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.