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Finding the Fourth Proportional to 1,051.33, 1,574.97 and 502.42

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Solution

The fourth proportional to 1,051.33, 1,574.97 and 502.42 is: 752.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.33 : 1,574.97 = 502.42 : x
  2. Step 2: Convert to fraction form
    1,051.33/1,574.97 = 502.42/x
  3. Step 3: Cross multiply
    1,051.33x = 1,574.97 × 502.42
  4. Step 4: Simplify right side
    1,051.33x = 791,296.43
  5. Step 5: Solve for x
    x = 791,296.43/1,051.33
  6. Step 6: Final answer
    x = 752.66

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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.