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Finding the Fourth Proportional to 1,254.07, 1,880.65 and 432.12

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Solution

The fourth proportional to 1,254.07, 1,880.65 and 432.12 is: 648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.07 : 1,880.65 = 432.12 : x
  2. Step 2: Convert to fraction form
    1,254.07/1,880.65 = 432.12/x
  3. Step 3: Cross multiply
    1,254.07x = 1,880.65 × 432.12
  4. Step 4: Simplify right side
    1,254.07x = 812,664.32
  5. Step 5: Solve for x
    x = 812,664.32/1,254.07
  6. Step 6: Final answer
    x = 648.02

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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.