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Finding the Fourth Proportional to 774.46, 1,160.97 and 570.07

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Solution

The fourth proportional to 774.46, 1,160.97 and 570.07 is: 854.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.46 : 1,160.97 = 570.07 : x
  2. Step 2: Convert to fraction form
    774.46/1,160.97 = 570.07/x
  3. Step 3: Cross multiply
    774.46x = 1,160.97 × 570.07
  4. Step 4: Simplify right side
    774.46x = 661,834.17
  5. Step 5: Solve for x
    x = 661,834.17/774.46
  6. Step 6: Final answer
    x = 854.58

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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.