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Finding the Fourth Proportional to 1,140.98, 1,709.24 and 593.52

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Solution

The fourth proportional to 1,140.98, 1,709.24 and 593.52 is: 889.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.98 : 1,709.24 = 593.52 : x
  2. Step 2: Convert to fraction form
    1,140.98/1,709.24 = 593.52/x
  3. Step 3: Cross multiply
    1,140.98x = 1,709.24 × 593.52
  4. Step 4: Simplify right side
    1,140.98x = 1,014,468.12
  5. Step 5: Solve for x
    x = 1,014,468.12/1,140.98
  6. Step 6: Final answer
    x = 889.12

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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.