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Finding the Fourth Proportional to 1,252.64, 1,878.15 and 602.75

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Solution

The fourth proportional to 1,252.64, 1,878.15 and 602.75 is: 903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.64 : 1,878.15 = 602.75 : x
  2. Step 2: Convert to fraction form
    1,252.64/1,878.15 = 602.75/x
  3. Step 3: Cross multiply
    1,252.64x = 1,878.15 × 602.75
  4. Step 4: Simplify right side
    1,252.64x = 1,132,054.91
  5. Step 5: Solve for x
    x = 1,132,054.91/1,252.64
  6. Step 6: Final answer
    x = 903.74

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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.