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Finding the Fourth Proportional to 1,253.48, 1,878.88 and 431.52

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Solution

The fourth proportional to 1,253.48, 1,878.88 and 431.52 is: 646.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.48 : 1,878.88 = 431.52 : x
  2. Step 2: Convert to fraction form
    1,253.48/1,878.88 = 431.52/x
  3. Step 3: Cross multiply
    1,253.48x = 1,878.88 × 431.52
  4. Step 4: Simplify right side
    1,253.48x = 810,774.30
  5. Step 5: Solve for x
    x = 810,774.30/1,253.48
  6. Step 6: Final answer
    x = 646.82

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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.