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Finding the Fourth Proportional to 675.24, 931.98 and 564.52

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Solution

The fourth proportional to 675.24, 931.98 and 564.52 is: 779.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.24 : 931.98 = 564.52 : x
  2. Step 2: Convert to fraction form
    675.24/931.98 = 564.52/x
  3. Step 3: Cross multiply
    675.24x = 931.98 × 564.52
  4. Step 4: Simplify right side
    675.24x = 526,121.30
  5. Step 5: Solve for x
    x = 526,121.30/675.24
  6. Step 6: Final answer
    x = 779.17

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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.