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Finding the Fourth Proportional to 1,407.99, 2,109.32 and 792.14

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Solution

The fourth proportional to 1,407.99, 2,109.32 and 792.14 is: 1,186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.99 : 2,109.32 = 792.14 : x
  2. Step 2: Convert to fraction form
    1,407.99/2,109.32 = 792.14/x
  3. Step 3: Cross multiply
    1,407.99x = 2,109.32 × 792.14
  4. Step 4: Simplify right side
    1,407.99x = 1,670,862.24
  5. Step 5: Solve for x
    x = 1,670,862.24/1,407.99
  6. Step 6: Final answer
    x = 1,186.70

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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.