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Finding the Fourth Proportional to 1,061.25, 1,464.60 and 595.50

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Solution

The fourth proportional to 1,061.25, 1,464.60 and 595.50 is: 821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.25 : 1,464.60 = 595.50 : x
  2. Step 2: Convert to fraction form
    1,061.25/1,464.60 = 595.50/x
  3. Step 3: Cross multiply
    1,061.25x = 1,464.60 × 595.50
  4. Step 4: Simplify right side
    1,061.25x = 872,169.30
  5. Step 5: Solve for x
    x = 872,169.30/1,061.25
  6. Step 6: Final answer
    x = 821.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.