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Finding the Fourth Proportional to 675.24, 930.78 and 565.08

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Solution

The fourth proportional to 675.24, 930.78 and 565.08 is: 778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.24 : 930.78 = 565.08 : x
  2. Step 2: Convert to fraction form
    675.24/930.78 = 565.08/x
  3. Step 3: Cross multiply
    675.24x = 930.78 × 565.08
  4. Step 4: Simplify right side
    675.24x = 525,965.16
  5. Step 5: Solve for x
    x = 525,965.16/675.24
  6. Step 6: Final answer
    x = 778.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.