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Finding the Fourth Proportional to 1,432.64, 1,978.56 and 1,104.32

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Solution

The fourth proportional to 1,432.64, 1,978.56 and 1,104.32 is: 1,525.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.64 : 1,978.56 = 1,104.32 : x
  2. Step 2: Convert to fraction form
    1,432.64/1,978.56 = 1,104.32/x
  3. Step 3: Cross multiply
    1,432.64x = 1,978.56 × 1,104.32
  4. Step 4: Simplify right side
    1,432.64x = 2,184,963.38
  5. Step 5: Solve for x
    x = 2,184,963.38/1,432.64
  6. Step 6: Final answer
    x = 1,525.13

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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.