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Finding the Fourth Proportional to 1,502.74, 2,253.30 and 578.53

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Solution

The fourth proportional to 1,502.74, 2,253.30 and 578.53 is: 867.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.74 : 2,253.30 = 578.53 : x
  2. Step 2: Convert to fraction form
    1,502.74/2,253.30 = 578.53/x
  3. Step 3: Cross multiply
    1,502.74x = 2,253.30 × 578.53
  4. Step 4: Simplify right side
    1,502.74x = 1,303,601.65
  5. Step 5: Solve for x
    x = 1,303,601.65/1,502.74
  6. Step 6: Final answer
    x = 867.48

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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.