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Finding the Fourth Proportional to 774.74, 1,069.29 and 526.14

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Solution

The fourth proportional to 774.74, 1,069.29 and 526.14 is: 726.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.74 : 1,069.29 = 526.14 : x
  2. Step 2: Convert to fraction form
    774.74/1,069.29 = 526.14/x
  3. Step 3: Cross multiply
    774.74x = 1,069.29 × 526.14
  4. Step 4: Simplify right side
    774.74x = 562,596.24
  5. Step 5: Solve for x
    x = 562,596.24/774.74
  6. Step 6: Final answer
    x = 726.17

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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.