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Finding the Fourth Proportional to 1,318.52, 1,977.74 and 549

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Solution

The fourth proportional to 1,318.52, 1,977.74 and 549 is: 823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.52 : 1,977.74 = 549 : x
  2. Step 2: Convert to fraction form
    1,318.52/1,977.74 = 549/x
  3. Step 3: Cross multiply
    1,318.52x = 1,977.74 × 549
  4. Step 4: Simplify right side
    1,318.52x = 1,085,779.26
  5. Step 5: Solve for x
    x = 1,085,779.26/1,318.52
  6. Step 6: Final answer
    x = 823.48

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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.