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Finding the Fourth Proportional to 1,302.33, 1,950.38 and 752.84

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Solution

The fourth proportional to 1,302.33, 1,950.38 and 752.84 is: 1,127.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.33 : 1,950.38 = 752.84 : x
  2. Step 2: Convert to fraction form
    1,302.33/1,950.38 = 752.84/x
  3. Step 3: Cross multiply
    1,302.33x = 1,950.38 × 752.84
  4. Step 4: Simplify right side
    1,302.33x = 1,468,328.01
  5. Step 5: Solve for x
    x = 1,468,328.01/1,302.33
  6. Step 6: Final answer
    x = 1,127.47

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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.