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Finding the Fourth Proportional to 1,254.12, 1,881.36 and 432.36

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Solution

The fourth proportional to 1,254.12, 1,881.36 and 432.36 is: 648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.12 : 1,881.36 = 432.36 : x
  2. Step 2: Convert to fraction form
    1,254.12/1,881.36 = 432.36/x
  3. Step 3: Cross multiply
    1,254.12x = 1,881.36 × 432.36
  4. Step 4: Simplify right side
    1,254.12x = 813,424.81
  5. Step 5: Solve for x
    x = 813,424.81/1,254.12
  6. Step 6: Final answer
    x = 648.60

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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.