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Finding the Fourth Proportional to 1,316.01, 1,974.02 and 391.58

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Solution

The fourth proportional to 1,316.01, 1,974.02 and 391.58 is: 587.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.01 : 1,974.02 = 391.58 : x
  2. Step 2: Convert to fraction form
    1,316.01/1,974.02 = 391.58/x
  3. Step 3: Cross multiply
    1,316.01x = 1,974.02 × 391.58
  4. Step 4: Simplify right side
    1,316.01x = 772,974.92
  5. Step 5: Solve for x
    x = 772,974.92/1,316.01
  6. Step 6: Final answer
    x = 587.36

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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.