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Finding the Fourth Proportional to 1,247.34, 1,871.82 and 554.46

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Solution

The fourth proportional to 1,247.34, 1,871.82 and 554.46 is: 832.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.34 : 1,871.82 = 554.46 : x
  2. Step 2: Convert to fraction form
    1,247.34/1,871.82 = 554.46/x
  3. Step 3: Cross multiply
    1,247.34x = 1,871.82 × 554.46
  4. Step 4: Simplify right side
    1,247.34x = 1,037,849.32
  5. Step 5: Solve for x
    x = 1,037,849.32/1,247.34
  6. Step 6: Final answer
    x = 832.05

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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.