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Finding the Fourth Proportional to 1,437.91, 2,156.91 and 464.11

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Solution

The fourth proportional to 1,437.91, 2,156.91 and 464.11 is: 696.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.91 : 2,156.91 = 464.11 : x
  2. Step 2: Convert to fraction form
    1,437.91/2,156.91 = 464.11/x
  3. Step 3: Cross multiply
    1,437.91x = 2,156.91 × 464.11
  4. Step 4: Simplify right side
    1,437.91x = 1,001,043.50
  5. Step 5: Solve for x
    x = 1,001,043.50/1,437.91
  6. Step 6: Final answer
    x = 696.18

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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.