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Finding the Fourth Proportional to 1,648.32, 2,275.36 and 1,059.20

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Solution

The fourth proportional to 1,648.32, 2,275.36 and 1,059.20 is: 1,462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.32 : 2,275.36 = 1,059.20 : x
  2. Step 2: Convert to fraction form
    1,648.32/2,275.36 = 1,059.20/x
  3. Step 3: Cross multiply
    1,648.32x = 2,275.36 × 1,059.20
  4. Step 4: Simplify right side
    1,648.32x = 2,410,061.31
  5. Step 5: Solve for x
    x = 2,410,061.31/1,648.32
  6. Step 6: Final answer
    x = 1,462.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.