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Finding the Fourth Proportional to 958.72, 1,438.08 and 616

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Solution

The fourth proportional to 958.72, 1,438.08 and 616 is: 924.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.72 : 1,438.08 = 616 : x
  2. Step 2: Convert to fraction form
    958.72/1,438.08 = 616/x
  3. Step 3: Cross multiply
    958.72x = 1,438.08 × 616
  4. Step 4: Simplify right side
    958.72x = 885,857.28
  5. Step 5: Solve for x
    x = 885,857.28/958.72
  6. Step 6: Final answer
    x = 924.00

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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.