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Finding the Fourth Proportional to 1,597.56, 2,397.06 and 776.58

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Solution

The fourth proportional to 1,597.56, 2,397.06 and 776.58 is: 1,165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.56 : 2,397.06 = 776.58 : x
  2. Step 2: Convert to fraction form
    1,597.56/2,397.06 = 776.58/x
  3. Step 3: Cross multiply
    1,597.56x = 2,397.06 × 776.58
  4. Step 4: Simplify right side
    1,597.56x = 1,861,508.85
  5. Step 5: Solve for x
    x = 1,861,508.85/1,597.56
  6. Step 6: Final answer
    x = 1,165.22

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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.