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Finding the Fourth Proportional to 690.56, 952.80 and 559.32

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Solution

The fourth proportional to 690.56, 952.80 and 559.32 is: 771.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.56 : 952.80 = 559.32 : x
  2. Step 2: Convert to fraction form
    690.56/952.80 = 559.32/x
  3. Step 3: Cross multiply
    690.56x = 952.80 × 559.32
  4. Step 4: Simplify right side
    690.56x = 532,920.10
  5. Step 5: Solve for x
    x = 532,920.10/690.56
  6. Step 6: Final answer
    x = 771.72

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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.