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Finding the Fourth Proportional to 1,406.82, 2,110.47 and 432.74

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Solution

The fourth proportional to 1,406.82, 2,110.47 and 432.74 is: 649.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.82 : 2,110.47 = 432.74 : x
  2. Step 2: Convert to fraction form
    1,406.82/2,110.47 = 432.74/x
  3. Step 3: Cross multiply
    1,406.82x = 2,110.47 × 432.74
  4. Step 4: Simplify right side
    1,406.82x = 913,284.79
  5. Step 5: Solve for x
    x = 913,284.79/1,406.82
  6. Step 6: Final answer
    x = 649.18

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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.