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Finding the Fourth Proportional to 916.65, 1,373.76 and 396.23

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Solution

The fourth proportional to 916.65, 1,373.76 and 396.23 is: 593.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.65 : 1,373.76 = 396.23 : x
  2. Step 2: Convert to fraction form
    916.65/1,373.76 = 396.23/x
  3. Step 3: Cross multiply
    916.65x = 1,373.76 × 396.23
  4. Step 4: Simplify right side
    916.65x = 544,318.06
  5. Step 5: Solve for x
    x = 544,318.06/916.65
  6. Step 6: Final answer
    x = 593.81

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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.