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Finding the Fourth Proportional to 702.98, 970.16 and 536.88

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Solution

The fourth proportional to 702.98, 970.16 and 536.88 is: 740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.98 : 970.16 = 536.88 : x
  2. Step 2: Convert to fraction form
    702.98/970.16 = 536.88/x
  3. Step 3: Cross multiply
    702.98x = 970.16 × 536.88
  4. Step 4: Simplify right side
    702.98x = 520,856.82
  5. Step 5: Solve for x
    x = 520,856.82/702.98
  6. Step 6: Final answer
    x = 740.93

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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.