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Finding the Fourth Proportional to 1,300.13, 1,950.19 and 520.48

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Solution

The fourth proportional to 1,300.13, 1,950.19 and 520.48 is: 780.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.13 : 1,950.19 = 520.48 : x
  2. Step 2: Convert to fraction form
    1,300.13/1,950.19 = 520.48/x
  3. Step 3: Cross multiply
    1,300.13x = 1,950.19 × 520.48
  4. Step 4: Simplify right side
    1,300.13x = 1,015,028.71
  5. Step 5: Solve for x
    x = 1,015,028.71/1,300.13
  6. Step 6: Final answer
    x = 780.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.