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Finding the Fourth Proportional to 1,496.55, 2,065.23 and 906.66

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Solution

The fourth proportional to 1,496.55, 2,065.23 and 906.66 is: 1,251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.55 : 2,065.23 = 906.66 : x
  2. Step 2: Convert to fraction form
    1,496.55/2,065.23 = 906.66/x
  3. Step 3: Cross multiply
    1,496.55x = 2,065.23 × 906.66
  4. Step 4: Simplify right side
    1,496.55x = 1,872,461.43
  5. Step 5: Solve for x
    x = 1,872,461.43/1,496.55
  6. Step 6: Final answer
    x = 1,251.19

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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.