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Finding the Fourth Proportional to 1,034.68, 1,428.20 and 704.11

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Solution

The fourth proportional to 1,034.68, 1,428.20 and 704.11 is: 971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.68 : 1,428.20 = 704.11 : x
  2. Step 2: Convert to fraction form
    1,034.68/1,428.20 = 704.11/x
  3. Step 3: Cross multiply
    1,034.68x = 1,428.20 × 704.11
  4. Step 4: Simplify right side
    1,034.68x = 1,005,606.38
  5. Step 5: Solve for x
    x = 1,005,606.38/1,034.68
  6. Step 6: Final answer
    x = 971.90

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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.