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Finding the Fourth Proportional to 1,154.64, 1,592.80 and 781.63

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Solution

The fourth proportional to 1,154.64, 1,592.80 and 781.63 is: 1,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.64 : 1,592.80 = 781.63 : x
  2. Step 2: Convert to fraction form
    1,154.64/1,592.80 = 781.63/x
  3. Step 3: Cross multiply
    1,154.64x = 1,592.80 × 781.63
  4. Step 4: Simplify right side
    1,154.64x = 1,244,980.26
  5. Step 5: Solve for x
    x = 1,244,980.26/1,154.64
  6. Step 6: Final answer
    x = 1,078.24

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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.