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Finding the Fourth Proportional to 851.18, 1,175.13 and 586.04

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Solution

The fourth proportional to 851.18, 1,175.13 and 586.04 is: 809.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.18 : 1,175.13 = 586.04 : x
  2. Step 2: Convert to fraction form
    851.18/1,175.13 = 586.04/x
  3. Step 3: Cross multiply
    851.18x = 1,175.13 × 586.04
  4. Step 4: Simplify right side
    851.18x = 688,667.31
  5. Step 5: Solve for x
    x = 688,667.31/851.18
  6. Step 6: Final answer
    x = 809.08

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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.