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Finding the Fourth Proportional to 1,754.30, 2,632.37 and 715.07

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Solution

The fourth proportional to 1,754.30, 2,632.37 and 715.07 is: 1,072.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.30 : 2,632.37 = 715.07 : x
  2. Step 2: Convert to fraction form
    1,754.30/2,632.37 = 715.07/x
  3. Step 3: Cross multiply
    1,754.30x = 2,632.37 × 715.07
  4. Step 4: Simplify right side
    1,754.30x = 1,882,312.08
  5. Step 5: Solve for x
    x = 1,882,312.08/1,754.30
  6. Step 6: Final answer
    x = 1,072.97

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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.