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Finding the Fourth Proportional to 1,760.13, 2,428.98 and 963.46

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Solution

The fourth proportional to 1,760.13, 2,428.98 and 963.46 is: 1,329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.13 : 2,428.98 = 963.46 : x
  2. Step 2: Convert to fraction form
    1,760.13/2,428.98 = 963.46/x
  3. Step 3: Cross multiply
    1,760.13x = 2,428.98 × 963.46
  4. Step 4: Simplify right side
    1,760.13x = 2,340,225.07
  5. Step 5: Solve for x
    x = 2,340,225.07/1,760.13
  6. Step 6: Final answer
    x = 1,329.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.