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Finding the Fourth Proportional to 923.83, 1,386.15 and 539.08

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Solution

The fourth proportional to 923.83, 1,386.15 and 539.08 is: 808.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.83 : 1,386.15 = 539.08 : x
  2. Step 2: Convert to fraction form
    923.83/1,386.15 = 539.08/x
  3. Step 3: Cross multiply
    923.83x = 1,386.15 × 539.08
  4. Step 4: Simplify right side
    923.83x = 747,242.66
  5. Step 5: Solve for x
    x = 747,242.66/923.83
  6. Step 6: Final answer
    x = 808.85

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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.