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Finding the Fourth Proportional to 977.10, 1,462.48 and 537.24

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Solution

The fourth proportional to 977.10, 1,462.48 and 537.24 is: 804.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.10 : 1,462.48 = 537.24 : x
  2. Step 2: Convert to fraction form
    977.10/1,462.48 = 537.24/x
  3. Step 3: Cross multiply
    977.10x = 1,462.48 × 537.24
  4. Step 4: Simplify right side
    977.10x = 785,702.76
  5. Step 5: Solve for x
    x = 785,702.76/977.10
  6. Step 6: Final answer
    x = 804.12

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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.