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Finding the Fourth Proportional to 1,567.07, 2,349.69 and 593.24

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Solution

The fourth proportional to 1,567.07, 2,349.69 and 593.24 is: 889.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.07 : 2,349.69 = 593.24 : x
  2. Step 2: Convert to fraction form
    1,567.07/2,349.69 = 593.24/x
  3. Step 3: Cross multiply
    1,567.07x = 2,349.69 × 593.24
  4. Step 4: Simplify right side
    1,567.07x = 1,393,930.10
  5. Step 5: Solve for x
    x = 1,393,930.10/1,567.07
  6. Step 6: Final answer
    x = 889.51

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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.