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Finding the Fourth Proportional to 776.02, 1,069.86 and 526.90

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Solution

The fourth proportional to 776.02, 1,069.86 and 526.90 is: 726.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.02 : 1,069.86 = 526.90 : x
  2. Step 2: Convert to fraction form
    776.02/1,069.86 = 526.90/x
  3. Step 3: Cross multiply
    776.02x = 1,069.86 × 526.90
  4. Step 4: Simplify right side
    776.02x = 563,709.23
  5. Step 5: Solve for x
    x = 563,709.23/776.02
  6. Step 6: Final answer
    x = 726.41

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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.