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Finding the Fourth Proportional to 647.84, 975.60 and 545.78

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Solution

The fourth proportional to 647.84, 975.60 and 545.78 is: 821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.84 : 975.60 = 545.78 : x
  2. Step 2: Convert to fraction form
    647.84/975.60 = 545.78/x
  3. Step 3: Cross multiply
    647.84x = 975.60 × 545.78
  4. Step 4: Simplify right side
    647.84x = 532,462.97
  5. Step 5: Solve for x
    x = 532,462.97/647.84
  6. Step 6: Final answer
    x = 821.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.