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Finding the Fourth Proportional to 851.60, 1,175.04 and 502.16

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Solution

The fourth proportional to 851.60, 1,175.04 and 502.16 is: 692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.60 : 1,175.04 = 502.16 : x
  2. Step 2: Convert to fraction form
    851.60/1,175.04 = 502.16/x
  3. Step 3: Cross multiply
    851.60x = 1,175.04 × 502.16
  4. Step 4: Simplify right side
    851.60x = 590,058.09
  5. Step 5: Solve for x
    x = 590,058.09/851.60
  6. Step 6: Final answer
    x = 692.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.