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Finding the Fourth Proportional to 1,041.54, 1,557.69 and 926.79

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Solution

The fourth proportional to 1,041.54, 1,557.69 and 926.79 is: 1,386.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.54 : 1,557.69 = 926.79 : x
  2. Step 2: Convert to fraction form
    1,041.54/1,557.69 = 926.79/x
  3. Step 3: Cross multiply
    1,041.54x = 1,557.69 × 926.79
  4. Step 4: Simplify right side
    1,041.54x = 1,443,651.52
  5. Step 5: Solve for x
    x = 1,443,651.52/1,041.54
  6. Step 6: Final answer
    x = 1,386.07

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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.