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Finding the Fourth Proportional to 1,510.25, 2,264.83 and 817.43

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Solution

The fourth proportional to 1,510.25, 2,264.83 and 817.43 is: 1,225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.25 : 2,264.83 = 817.43 : x
  2. Step 2: Convert to fraction form
    1,510.25/2,264.83 = 817.43/x
  3. Step 3: Cross multiply
    1,510.25x = 2,264.83 × 817.43
  4. Step 4: Simplify right side
    1,510.25x = 1,851,339.99
  5. Step 5: Solve for x
    x = 1,851,339.99/1,510.25
  6. Step 6: Final answer
    x = 1,225.85

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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.