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Finding the Fourth Proportional to 1,437.30, 1,984.41 and 906.93

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Solution

The fourth proportional to 1,437.30, 1,984.41 and 906.93 is: 1,252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.30 : 1,984.41 = 906.93 : x
  2. Step 2: Convert to fraction form
    1,437.30/1,984.41 = 906.93/x
  3. Step 3: Cross multiply
    1,437.30x = 1,984.41 × 906.93
  4. Step 4: Simplify right side
    1,437.30x = 1,799,720.96
  5. Step 5: Solve for x
    x = 1,799,720.96/1,437.30
  6. Step 6: Final answer
    x = 1,252.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.