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Finding the Fourth Proportional to 962.10, 1,439.52 and 572.31

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Solution

The fourth proportional to 962.10, 1,439.52 and 572.31 is: 856.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.10 : 1,439.52 = 572.31 : x
  2. Step 2: Convert to fraction form
    962.10/1,439.52 = 572.31/x
  3. Step 3: Cross multiply
    962.10x = 1,439.52 × 572.31
  4. Step 4: Simplify right side
    962.10x = 823,848.83
  5. Step 5: Solve for x
    x = 823,848.83/962.10
  6. Step 6: Final answer
    x = 856.30

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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.