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Finding the Fourth Proportional to 1,475.46, 2,213.52 and 695.47

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Solution

The fourth proportional to 1,475.46, 2,213.52 and 695.47 is: 1,043.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.46 : 2,213.52 = 695.47 : x
  2. Step 2: Convert to fraction form
    1,475.46/2,213.52 = 695.47/x
  3. Step 3: Cross multiply
    1,475.46x = 2,213.52 × 695.47
  4. Step 4: Simplify right side
    1,475.46x = 1,539,436.75
  5. Step 5: Solve for x
    x = 1,539,436.75/1,475.46
  6. Step 6: Final answer
    x = 1,043.36

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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.