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Finding the Fourth Proportional to 1,159.08, 1,599.87 and 766.20

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Solution

The fourth proportional to 1,159.08, 1,599.87 and 766.20 is: 1,057.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.08 : 1,599.87 = 766.20 : x
  2. Step 2: Convert to fraction form
    1,159.08/1,599.87 = 766.20/x
  3. Step 3: Cross multiply
    1,159.08x = 1,599.87 × 766.20
  4. Step 4: Simplify right side
    1,159.08x = 1,225,820.39
  5. Step 5: Solve for x
    x = 1,225,820.39/1,159.08
  6. Step 6: Final answer
    x = 1,057.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.