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Finding the Fourth Proportional to 1,206.48, 1,809.72 and 476.13

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Solution

The fourth proportional to 1,206.48, 1,809.72 and 476.13 is: 714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.48 : 1,809.72 = 476.13 : x
  2. Step 2: Convert to fraction form
    1,206.48/1,809.72 = 476.13/x
  3. Step 3: Cross multiply
    1,206.48x = 1,809.72 × 476.13
  4. Step 4: Simplify right side
    1,206.48x = 861,661.98
  5. Step 5: Solve for x
    x = 861,661.98/1,206.48
  6. Step 6: Final answer
    x = 714.20

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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.