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Finding the Fourth Proportional to 1,701.69, 2,552.23 and 452.29

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Solution

The fourth proportional to 1,701.69, 2,552.23 and 452.29 is: 678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.69 : 2,552.23 = 452.29 : x
  2. Step 2: Convert to fraction form
    1,701.69/2,552.23 = 452.29/x
  3. Step 3: Cross multiply
    1,701.69x = 2,552.23 × 452.29
  4. Step 4: Simplify right side
    1,701.69x = 1,154,348.11
  5. Step 5: Solve for x
    x = 1,154,348.11/1,701.69
  6. Step 6: Final answer
    x = 678.35

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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.