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Finding the Fourth Proportional to 774.52, 1,069.68 and 526.26

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Solution

The fourth proportional to 774.52, 1,069.68 and 526.26 is: 726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.52 : 1,069.68 = 526.26 : x
  2. Step 2: Convert to fraction form
    774.52/1,069.68 = 526.26/x
  3. Step 3: Cross multiply
    774.52x = 1,069.68 × 526.26
  4. Step 4: Simplify right side
    774.52x = 562,929.80
  5. Step 5: Solve for x
    x = 562,929.80/774.52
  6. Step 6: Final answer
    x = 726.81

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