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Finding the Fourth Proportional to 1,732.77, 2,599.16 and 434.23

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Solution

The fourth proportional to 1,732.77, 2,599.16 and 434.23 is: 651.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.77 : 2,599.16 = 434.23 : x
  2. Step 2: Convert to fraction form
    1,732.77/2,599.16 = 434.23/x
  3. Step 3: Cross multiply
    1,732.77x = 2,599.16 × 434.23
  4. Step 4: Simplify right side
    1,732.77x = 1,128,633.25
  5. Step 5: Solve for x
    x = 1,128,633.25/1,732.77
  6. Step 6: Final answer
    x = 651.35

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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.