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Finding the Fourth Proportional to 774.47, 1,069.04 and 512.57

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Solution

The fourth proportional to 774.47, 1,069.04 and 512.57 is: 707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.47 : 1,069.04 = 512.57 : x
  2. Step 2: Convert to fraction form
    774.47/1,069.04 = 512.57/x
  3. Step 3: Cross multiply
    774.47x = 1,069.04 × 512.57
  4. Step 4: Simplify right side
    774.47x = 547,953.77
  5. Step 5: Solve for x
    x = 547,953.77/774.47
  6. Step 6: Final answer
    x = 707.53

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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.