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Finding the Fourth Proportional to 1,037.59, 1,431.89 and 589.45

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Solution

The fourth proportional to 1,037.59, 1,431.89 and 589.45 is: 813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.59 : 1,431.89 = 589.45 : x
  2. Step 2: Convert to fraction form
    1,037.59/1,431.89 = 589.45/x
  3. Step 3: Cross multiply
    1,037.59x = 1,431.89 × 589.45
  4. Step 4: Simplify right side
    1,037.59x = 844,027.56
  5. Step 5: Solve for x
    x = 844,027.56/1,037.59
  6. Step 6: Final answer
    x = 813.45

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