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Finding the Fourth Proportional to 678.95, 937.69 and 532.70

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Solution

The fourth proportional to 678.95, 937.69 and 532.70 is: 735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.95 : 937.69 = 532.70 : x
  2. Step 2: Convert to fraction form
    678.95/937.69 = 532.70/x
  3. Step 3: Cross multiply
    678.95x = 937.69 × 532.70
  4. Step 4: Simplify right side
    678.95x = 499,501.44
  5. Step 5: Solve for x
    x = 499,501.44/678.95
  6. Step 6: Final answer
    x = 735.70

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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.