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Finding the Fourth Proportional to 1,302.92, 1,954.72 and 437.24

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Solution

The fourth proportional to 1,302.92, 1,954.72 and 437.24 is: 655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.92 : 1,954.72 = 437.24 : x
  2. Step 2: Convert to fraction form
    1,302.92/1,954.72 = 437.24/x
  3. Step 3: Cross multiply
    1,302.92x = 1,954.72 × 437.24
  4. Step 4: Simplify right side
    1,302.92x = 854,681.77
  5. Step 5: Solve for x
    x = 854,681.77/1,302.92
  6. Step 6: Final answer
    x = 655.97

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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.