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Finding the Fourth Proportional to 1,513.80, 2,269.76 and 526.38

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Solution

The fourth proportional to 1,513.80, 2,269.76 and 526.38 is: 789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.80 : 2,269.76 = 526.38 : x
  2. Step 2: Convert to fraction form
    1,513.80/2,269.76 = 526.38/x
  3. Step 3: Cross multiply
    1,513.80x = 2,269.76 × 526.38
  4. Step 4: Simplify right side
    1,513.80x = 1,194,756.27
  5. Step 5: Solve for x
    x = 1,194,756.27/1,513.80
  6. Step 6: Final answer
    x = 789.24

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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.