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Finding the Fourth Proportional to 1,316.07, 1,974.12 and 342.18

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Solution

The fourth proportional to 1,316.07, 1,974.12 and 342.18 is: 513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.07 : 1,974.12 = 342.18 : x
  2. Step 2: Convert to fraction form
    1,316.07/1,974.12 = 342.18/x
  3. Step 3: Cross multiply
    1,316.07x = 1,974.12 × 342.18
  4. Step 4: Simplify right side
    1,316.07x = 675,504.38
  5. Step 5: Solve for x
    x = 675,504.38/1,316.07
  6. Step 6: Final answer
    x = 513.27

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1.5x scale

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.