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Finding the Fourth Proportional to 1,450.59, 2,176.16 and 476.97

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Solution

The fourth proportional to 1,450.59, 2,176.16 and 476.97 is: 715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.59 : 2,176.16 = 476.97 : x
  2. Step 2: Convert to fraction form
    1,450.59/2,176.16 = 476.97/x
  3. Step 3: Cross multiply
    1,450.59x = 2,176.16 × 476.97
  4. Step 4: Simplify right side
    1,450.59x = 1,037,963.04
  5. Step 5: Solve for x
    x = 1,037,963.04/1,450.59
  6. Step 6: Final answer
    x = 715.55

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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.