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Finding the Fourth Proportional to 1,002.33, 1,502.64 and 385.65

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Solution

The fourth proportional to 1,002.33, 1,502.64 and 385.65 is: 578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.33 : 1,502.64 = 385.65 : x
  2. Step 2: Convert to fraction form
    1,002.33/1,502.64 = 385.65/x
  3. Step 3: Cross multiply
    1,002.33x = 1,502.64 × 385.65
  4. Step 4: Simplify right side
    1,002.33x = 579,493.12
  5. Step 5: Solve for x
    x = 579,493.12/1,002.33
  6. Step 6: Final answer
    x = 578.15

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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.