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Finding the Fourth Proportional to 810.47, 1,118.25 and 586.23

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Solution

The fourth proportional to 810.47, 1,118.25 and 586.23 is: 808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.47 : 1,118.25 = 586.23 : x
  2. Step 2: Convert to fraction form
    810.47/1,118.25 = 586.23/x
  3. Step 3: Cross multiply
    810.47x = 1,118.25 × 586.23
  4. Step 4: Simplify right side
    810.47x = 655,551.70
  5. Step 5: Solve for x
    x = 655,551.70/810.47
  6. Step 6: Final answer
    x = 808.86

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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.