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Finding the Fourth Proportional to 647.80, 970.89 and 532.78

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Solution

The fourth proportional to 647.80, 970.89 and 532.78 is: 798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.80 : 970.89 = 532.78 : x
  2. Step 2: Convert to fraction form
    647.80/970.89 = 532.78/x
  3. Step 3: Cross multiply
    647.80x = 970.89 × 532.78
  4. Step 4: Simplify right side
    647.80x = 517,270.77
  5. Step 5: Solve for x
    x = 517,270.77/647.80
  6. Step 6: Final answer
    x = 798.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.