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Finding the Fourth Proportional to 1,253.77, 1,880.95 and 432.07

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Solution

The fourth proportional to 1,253.77, 1,880.95 and 432.07 is: 648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.77 : 1,880.95 = 432.07 : x
  2. Step 2: Convert to fraction form
    1,253.77/1,880.95 = 432.07/x
  3. Step 3: Cross multiply
    1,253.77x = 1,880.95 × 432.07
  4. Step 4: Simplify right side
    1,253.77x = 812,702.07
  5. Step 5: Solve for x
    x = 812,702.07/1,253.77
  6. Step 6: Final answer
    x = 648.21

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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.