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Finding the Fourth Proportional to 702.46, 969.33 and 525.54

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Solution

The fourth proportional to 702.46, 969.33 and 525.54 is: 725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.46 : 969.33 = 525.54 : x
  2. Step 2: Convert to fraction form
    702.46/969.33 = 525.54/x
  3. Step 3: Cross multiply
    702.46x = 969.33 × 525.54
  4. Step 4: Simplify right side
    702.46x = 509,421.69
  5. Step 5: Solve for x
    x = 509,421.69/702.46
  6. Step 6: Final answer
    x = 725.20

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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.