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Finding the Fourth Proportional to 1,019.86, 1,526.51 and 923.95

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Solution

The fourth proportional to 1,019.86, 1,526.51 and 923.95 is: 1,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.86 : 1,526.51 = 923.95 : x
  2. Step 2: Convert to fraction form
    1,019.86/1,526.51 = 923.95/x
  3. Step 3: Cross multiply
    1,019.86x = 1,526.51 × 923.95
  4. Step 4: Simplify right side
    1,019.86x = 1,410,418.91
  5. Step 5: Solve for x
    x = 1,410,418.91/1,019.86
  6. Step 6: Final answer
    x = 1,382.95

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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.