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Finding the Fourth Proportional to 1,037.63, 1,431.83 and 589.50

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Solution

The fourth proportional to 1,037.63, 1,431.83 and 589.50 is: 813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.63 : 1,431.83 = 589.50 : x
  2. Step 2: Convert to fraction form
    1,037.63/1,431.83 = 589.50/x
  3. Step 3: Cross multiply
    1,037.63x = 1,431.83 × 589.50
  4. Step 4: Simplify right side
    1,037.63x = 844,065.26
  5. Step 5: Solve for x
    x = 844,065.26/1,037.63
  6. Step 6: Final answer
    x = 813.45

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Why These Related Problems?

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