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Finding the Fourth Proportional to 1,032.59, 1,548.34 and 593.75

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Solution

The fourth proportional to 1,032.59, 1,548.34 and 593.75 is: 890.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.59 : 1,548.34 = 593.75 : x
  2. Step 2: Convert to fraction form
    1,032.59/1,548.34 = 593.75/x
  3. Step 3: Cross multiply
    1,032.59x = 1,548.34 × 593.75
  4. Step 4: Simplify right side
    1,032.59x = 919,326.88
  5. Step 5: Solve for x
    x = 919,326.88/1,032.59
  6. Step 6: Final answer
    x = 890.31

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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.