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Finding the Fourth Proportional to 1,442.04, 2,162.58 and 467.88

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Solution

The fourth proportional to 1,442.04, 2,162.58 and 467.88 is: 701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.04 : 2,162.58 = 467.88 : x
  2. Step 2: Convert to fraction form
    1,442.04/2,162.58 = 467.88/x
  3. Step 3: Cross multiply
    1,442.04x = 2,162.58 × 467.88
  4. Step 4: Simplify right side
    1,442.04x = 1,011,827.93
  5. Step 5: Solve for x
    x = 1,011,827.93/1,442.04
  6. Step 6: Final answer
    x = 701.66

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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.