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Finding the Fourth Proportional to 657.23, 985.98 and 549.77

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Solution

The fourth proportional to 657.23, 985.98 and 549.77 is: 824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.23 : 985.98 = 549.77 : x
  2. Step 2: Convert to fraction form
    657.23/985.98 = 549.77/x
  3. Step 3: Cross multiply
    657.23x = 985.98 × 549.77
  4. Step 4: Simplify right side
    657.23x = 542,062.22
  5. Step 5: Solve for x
    x = 542,062.22/657.23
  6. Step 6: Final answer
    x = 824.77

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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.