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Finding the Fourth Proportional to 1,184.76, 1,776.39 and 526.29

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Solution

The fourth proportional to 1,184.76, 1,776.39 and 526.29 is: 789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.76 : 1,776.39 = 526.29 : x
  2. Step 2: Convert to fraction form
    1,184.76/1,776.39 = 526.29/x
  3. Step 3: Cross multiply
    1,184.76x = 1,776.39 × 526.29
  4. Step 4: Simplify right side
    1,184.76x = 934,896.29
  5. Step 5: Solve for x
    x = 934,896.29/1,184.76
  6. Step 6: Final answer
    x = 789.10

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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.