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Finding the Fourth Proportional to 864.13, 1,296.96 and 570.82

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Solution

The fourth proportional to 864.13, 1,296.96 and 570.82 is: 856.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.13 : 1,296.96 = 570.82 : x
  2. Step 2: Convert to fraction form
    864.13/1,296.96 = 570.82/x
  3. Step 3: Cross multiply
    864.13x = 1,296.96 × 570.82
  4. Step 4: Simplify right side
    864.13x = 740,330.71
  5. Step 5: Solve for x
    x = 740,330.71/864.13
  6. Step 6: Final answer
    x = 856.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.