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Finding the Fourth Proportional to 652.94, 977.70 and 549.44

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Solution

The fourth proportional to 652.94, 977.70 and 549.44 is: 822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.94 : 977.70 = 549.44 : x
  2. Step 2: Convert to fraction form
    652.94/977.70 = 549.44/x
  3. Step 3: Cross multiply
    652.94x = 977.70 × 549.44
  4. Step 4: Simplify right side
    652.94x = 537,187.49
  5. Step 5: Solve for x
    x = 537,187.49/652.94
  6. Step 6: Final answer
    x = 822.72

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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.