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Finding the Fourth Proportional to 586.22, 803.85 and 565.61

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Solution

The fourth proportional to 586.22, 803.85 and 565.61 is: 775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.22 : 803.85 = 565.61 : x
  2. Step 2: Convert to fraction form
    586.22/803.85 = 565.61/x
  3. Step 3: Cross multiply
    586.22x = 803.85 × 565.61
  4. Step 4: Simplify right side
    586.22x = 454,662.77
  5. Step 5: Solve for x
    x = 454,662.77/586.22
  6. Step 6: Final answer
    x = 775.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.