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Finding the Fourth Proportional to 1,315.59, 1,974.53 and 767.03

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Solution

The fourth proportional to 1,315.59, 1,974.53 and 767.03 is: 1,151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.59 : 1,974.53 = 767.03 : x
  2. Step 2: Convert to fraction form
    1,315.59/1,974.53 = 767.03/x
  3. Step 3: Cross multiply
    1,315.59x = 1,974.53 × 767.03
  4. Step 4: Simplify right side
    1,315.59x = 1,514,510.04
  5. Step 5: Solve for x
    x = 1,514,510.04/1,315.59
  6. Step 6: Final answer
    x = 1,151.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.