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Finding the Fourth Proportional to 1,289.52, 1,933.58 and 595.58

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Solution

The fourth proportional to 1,289.52, 1,933.58 and 595.58 is: 893.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.52 : 1,933.58 = 595.58 : x
  2. Step 2: Convert to fraction form
    1,289.52/1,933.58 = 595.58/x
  3. Step 3: Cross multiply
    1,289.52x = 1,933.58 × 595.58
  4. Step 4: Simplify right side
    1,289.52x = 1,151,588.93
  5. Step 5: Solve for x
    x = 1,151,588.93/1,289.52
  6. Step 6: Final answer
    x = 893.04

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