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Finding the Fourth Proportional to 1,407.90, 2,108.01 and 722.46

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Solution

The fourth proportional to 1,407.90, 2,108.01 and 722.46 is: 1,081.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.90 : 2,108.01 = 722.46 : x
  2. Step 2: Convert to fraction form
    1,407.90/2,108.01 = 722.46/x
  3. Step 3: Cross multiply
    1,407.90x = 2,108.01 × 722.46
  4. Step 4: Simplify right side
    1,407.90x = 1,522,952.90
  5. Step 5: Solve for x
    x = 1,522,952.90/1,407.90
  6. Step 6: Final answer
    x = 1,081.72

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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.