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Finding the Fourth Proportional to 1,215.04, 1,822.80 and 781.60

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Solution

The fourth proportional to 1,215.04, 1,822.80 and 781.60 is: 1,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.04 : 1,822.80 = 781.60 : x
  2. Step 2: Convert to fraction form
    1,215.04/1,822.80 = 781.60/x
  3. Step 3: Cross multiply
    1,215.04x = 1,822.80 × 781.60
  4. Step 4: Simplify right side
    1,215.04x = 1,424,700.48
  5. Step 5: Solve for x
    x = 1,424,700.48/1,215.04
  6. Step 6: Final answer
    x = 1,172.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.