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Finding the Fourth Proportional to 1,364.83, 2,046.66 and 520.38

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Solution

The fourth proportional to 1,364.83, 2,046.66 and 520.38 is: 780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.83 : 2,046.66 = 520.38 : x
  2. Step 2: Convert to fraction form
    1,364.83/2,046.66 = 520.38/x
  3. Step 3: Cross multiply
    1,364.83x = 2,046.66 × 520.38
  4. Step 4: Simplify right side
    1,364.83x = 1,065,040.93
  5. Step 5: Solve for x
    x = 1,065,040.93/1,364.83
  6. Step 6: Final answer
    x = 780.35

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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.