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Finding the Fourth Proportional to 929.60, 1,281.12 and 696.32

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Solution

The fourth proportional to 929.60, 1,281.12 and 696.32 is: 959.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.60 : 1,281.12 = 696.32 : x
  2. Step 2: Convert to fraction form
    929.60/1,281.12 = 696.32/x
  3. Step 3: Cross multiply
    929.60x = 1,281.12 × 696.32
  4. Step 4: Simplify right side
    929.60x = 892,069.48
  5. Step 5: Solve for x
    x = 892,069.48/929.60
  6. Step 6: Final answer
    x = 959.63

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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.