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Finding the Fourth Proportional to 614.06, 846.95 and 586.46

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Solution

The fourth proportional to 614.06, 846.95 and 586.46 is: 808.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.06 : 846.95 = 586.46 : x
  2. Step 2: Convert to fraction form
    614.06/846.95 = 586.46/x
  3. Step 3: Cross multiply
    614.06x = 846.95 × 586.46
  4. Step 4: Simplify right side
    614.06x = 496,702.30
  5. Step 5: Solve for x
    x = 496,702.30/614.06
  6. Step 6: Final answer
    x = 808.88

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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.