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Finding the Fourth Proportional to 1,020.65, 1,523.45 and 948.42

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Solution

The fourth proportional to 1,020.65, 1,523.45 and 948.42 is: 1,415.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.65 : 1,523.45 = 948.42 : x
  2. Step 2: Convert to fraction form
    1,020.65/1,523.45 = 948.42/x
  3. Step 3: Cross multiply
    1,020.65x = 1,523.45 × 948.42
  4. Step 4: Simplify right side
    1,020.65x = 1,444,872.82
  5. Step 5: Solve for x
    x = 1,444,872.82/1,020.65
  6. Step 6: Final answer
    x = 1,415.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.