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Finding the Fourth Proportional to 1,033.07, 1,549.61 and 302.65

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Solution

The fourth proportional to 1,033.07, 1,549.61 and 302.65 is: 453.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.07 : 1,549.61 = 302.65 : x
  2. Step 2: Convert to fraction form
    1,033.07/1,549.61 = 302.65/x
  3. Step 3: Cross multiply
    1,033.07x = 1,549.61 × 302.65
  4. Step 4: Simplify right side
    1,033.07x = 468,989.47
  5. Step 5: Solve for x
    x = 468,989.47/1,033.07
  6. Step 6: Final answer
    x = 453.98

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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.