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Finding the Fourth Proportional to 977.53, 1,349.43 and 623.92

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Solution

The fourth proportional to 977.53, 1,349.43 and 623.92 is: 861.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.53 : 1,349.43 = 623.92 : x
  2. Step 2: Convert to fraction form
    977.53/1,349.43 = 623.92/x
  3. Step 3: Cross multiply
    977.53x = 1,349.43 × 623.92
  4. Step 4: Simplify right side
    977.53x = 841,930.65
  5. Step 5: Solve for x
    x = 841,930.65/977.53
  6. Step 6: Final answer
    x = 861.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.