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Finding the Fourth Proportional to 1,315.67, 1,974.45 and 767.30

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Solution

The fourth proportional to 1,315.67, 1,974.45 and 767.30 is: 1,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.67 : 1,974.45 = 767.30 : x
  2. Step 2: Convert to fraction form
    1,315.67/1,974.45 = 767.30/x
  3. Step 3: Cross multiply
    1,315.67x = 1,974.45 × 767.30
  4. Step 4: Simplify right side
    1,315.67x = 1,514,995.49
  5. Step 5: Solve for x
    x = 1,514,995.49/1,315.67
  6. Step 6: Final answer
    x = 1,151.50

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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.