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Finding the Fourth Proportional to 1,033.10, 1,549.64 and 253.10

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Solution

The fourth proportional to 1,033.10, 1,549.64 and 253.10 is: 379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.10 : 1,549.64 = 253.10 : x
  2. Step 2: Convert to fraction form
    1,033.10/1,549.64 = 253.10/x
  3. Step 3: Cross multiply
    1,033.10x = 1,549.64 × 253.10
  4. Step 4: Simplify right side
    1,033.10x = 392,204.87
  5. Step 5: Solve for x
    x = 392,204.87/1,033.10
  6. Step 6: Final answer
    x = 379.64

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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.