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Finding the Fourth Proportional to 944.08, 1,415.04 and 532.64

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Solution

The fourth proportional to 944.08, 1,415.04 and 532.64 is: 798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.08 : 1,415.04 = 532.64 : x
  2. Step 2: Convert to fraction form
    944.08/1,415.04 = 532.64/x
  3. Step 3: Cross multiply
    944.08x = 1,415.04 × 532.64
  4. Step 4: Simplify right side
    944.08x = 753,706.91
  5. Step 5: Solve for x
    x = 753,706.91/944.08
  6. Step 6: Final answer
    x = 798.35

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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.