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Finding the Fourth Proportional to 1,404.93, 1,938.02 and 985.91

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Solution

The fourth proportional to 1,404.93, 1,938.02 and 985.91 is: 1,360.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.93 : 1,938.02 = 985.91 : x
  2. Step 2: Convert to fraction form
    1,404.93/1,938.02 = 985.91/x
  3. Step 3: Cross multiply
    1,404.93x = 1,938.02 × 985.91
  4. Step 4: Simplify right side
    1,404.93x = 1,910,713.30
  5. Step 5: Solve for x
    x = 1,910,713.30/1,404.93
  6. Step 6: Final answer
    x = 1,360.01

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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.