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Finding the Fourth Proportional to 597.52, 900.70 and 545.68

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Solution

The fourth proportional to 597.52, 900.70 and 545.68 is: 822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.52 : 900.70 = 545.68 : x
  2. Step 2: Convert to fraction form
    597.52/900.70 = 545.68/x
  3. Step 3: Cross multiply
    597.52x = 900.70 × 545.68
  4. Step 4: Simplify right side
    597.52x = 491,493.98
  5. Step 5: Solve for x
    x = 491,493.98/597.52
  6. Step 6: Final answer
    x = 822.56

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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.