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Finding the Fourth Proportional to 1,355.83, 2,032.91 and 564.69

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Solution

The fourth proportional to 1,355.83, 2,032.91 and 564.69 is: 846.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.83 : 2,032.91 = 564.69 : x
  2. Step 2: Convert to fraction form
    1,355.83/2,032.91 = 564.69/x
  3. Step 3: Cross multiply
    1,355.83x = 2,032.91 × 564.69
  4. Step 4: Simplify right side
    1,355.83x = 1,147,963.95
  5. Step 5: Solve for x
    x = 1,147,963.95/1,355.83
  6. Step 6: Final answer
    x = 846.69

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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.