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Finding the Fourth Proportional to 1,355.58, 2,032.54 and 564.44

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Solution

The fourth proportional to 1,355.58, 2,032.54 and 564.44 is: 846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.58 : 2,032.54 = 564.44 : x
  2. Step 2: Convert to fraction form
    1,355.58/2,032.54 = 564.44/x
  3. Step 3: Cross multiply
    1,355.58x = 2,032.54 × 564.44
  4. Step 4: Simplify right side
    1,355.58x = 1,147,250.55
  5. Step 5: Solve for x
    x = 1,147,250.55/1,355.58
  6. Step 6: Final answer
    x = 846.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.