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Finding the Fourth Proportional to 1,732.08, 2,597.96 and 706

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Solution

The fourth proportional to 1,732.08, 2,597.96 and 706 is: 1,058.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.08 : 2,597.96 = 706 : x
  2. Step 2: Convert to fraction form
    1,732.08/2,597.96 = 706/x
  3. Step 3: Cross multiply
    1,732.08x = 2,597.96 × 706
  4. Step 4: Simplify right side
    1,732.08x = 1,834,159.76
  5. Step 5: Solve for x
    x = 1,834,159.76/1,732.08
  6. Step 6: Final answer
    x = 1,058.93

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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.