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Finding the Fourth Proportional to 715.12, 980.44 and 702.16

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Solution

The fourth proportional to 715.12, 980.44 and 702.16 is: 962.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.12 : 980.44 = 702.16 : x
  2. Step 2: Convert to fraction form
    715.12/980.44 = 702.16/x
  3. Step 3: Cross multiply
    715.12x = 980.44 × 702.16
  4. Step 4: Simplify right side
    715.12x = 688,425.75
  5. Step 5: Solve for x
    x = 688,425.75/715.12
  6. Step 6: Final answer
    x = 962.67

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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.