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Finding the Fourth Proportional to 1,068.47, 1,473.20 and 695.31

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Solution

The fourth proportional to 1,068.47, 1,473.20 and 695.31 is: 958.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.47 : 1,473.20 = 695.31 : x
  2. Step 2: Convert to fraction form
    1,068.47/1,473.20 = 695.31/x
  3. Step 3: Cross multiply
    1,068.47x = 1,473.20 × 695.31
  4. Step 4: Simplify right side
    1,068.47x = 1,024,330.69
  5. Step 5: Solve for x
    x = 1,024,330.69/1,068.47
  6. Step 6: Final answer
    x = 958.69

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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.