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Finding the Fourth Proportional to 1,289.29, 1,932.32 and 924.79

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Solution

The fourth proportional to 1,289.29, 1,932.32 and 924.79 is: 1,386.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.29 : 1,932.32 = 924.79 : x
  2. Step 2: Convert to fraction form
    1,289.29/1,932.32 = 924.79/x
  3. Step 3: Cross multiply
    1,289.29x = 1,932.32 × 924.79
  4. Step 4: Simplify right side
    1,289.29x = 1,786,985.59
  5. Step 5: Solve for x
    x = 1,786,985.59/1,289.29
  6. Step 6: Final answer
    x = 1,386.02

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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.