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Finding the Fourth Proportional to 1,411.83, 2,117.87 and 437.91

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Solution

The fourth proportional to 1,411.83, 2,117.87 and 437.91 is: 656.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.83 : 2,117.87 = 437.91 : x
  2. Step 2: Convert to fraction form
    1,411.83/2,117.87 = 437.91/x
  3. Step 3: Cross multiply
    1,411.83x = 2,117.87 × 437.91
  4. Step 4: Simplify right side
    1,411.83x = 927,434.26
  5. Step 5: Solve for x
    x = 927,434.26/1,411.83
  6. Step 6: Final answer
    x = 656.90

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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.