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Finding the Fourth Proportional to 1,275.60, 1,913.58 and 442.56

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Solution

The fourth proportional to 1,275.60, 1,913.58 and 442.56 is: 663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.60 : 1,913.58 = 442.56 : x
  2. Step 2: Convert to fraction form
    1,275.60/1,913.58 = 442.56/x
  3. Step 3: Cross multiply
    1,275.60x = 1,913.58 × 442.56
  4. Step 4: Simplify right side
    1,275.60x = 846,873.96
  5. Step 5: Solve for x
    x = 846,873.96/1,275.60
  6. Step 6: Final answer
    x = 663.90

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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.