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Finding the Fourth Proportional to 1,032.22, 1,423.99 and 659.02

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Solution

The fourth proportional to 1,032.22, 1,423.99 and 659.02 is: 909.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.22 : 1,423.99 = 659.02 : x
  2. Step 2: Convert to fraction form
    1,032.22/1,423.99 = 659.02/x
  3. Step 3: Cross multiply
    1,032.22x = 1,423.99 × 659.02
  4. Step 4: Simplify right side
    1,032.22x = 938,433.72
  5. Step 5: Solve for x
    x = 938,433.72/1,032.22
  6. Step 6: Final answer
    x = 909.14

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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.