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Finding the Fourth Proportional to 690.64, 1,034.12 and 581.29

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Solution

The fourth proportional to 690.64, 1,034.12 and 581.29 is: 870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.64 : 1,034.12 = 581.29 : x
  2. Step 2: Convert to fraction form
    690.64/1,034.12 = 581.29/x
  3. Step 3: Cross multiply
    690.64x = 1,034.12 × 581.29
  4. Step 4: Simplify right side
    690.64x = 601,123.61
  5. Step 5: Solve for x
    x = 601,123.61/690.64
  6. Step 6: Final answer
    x = 870.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.