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Finding the Fourth Proportional to 1,097.04, 1,642.68 and 770.64

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Solution

The fourth proportional to 1,097.04, 1,642.68 and 770.64 is: 1,153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.04 : 1,642.68 = 770.64 : x
  2. Step 2: Convert to fraction form
    1,097.04/1,642.68 = 770.64/x
  3. Step 3: Cross multiply
    1,097.04x = 1,642.68 × 770.64
  4. Step 4: Simplify right side
    1,097.04x = 1,265,914.92
  5. Step 5: Solve for x
    x = 1,265,914.92/1,097.04
  6. Step 6: Final answer
    x = 1,153.94

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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.