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Finding the Fourth Proportional to 1,063.59, 1,467.67 and 597.75

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Solution

The fourth proportional to 1,063.59, 1,467.67 and 597.75 is: 824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.59 : 1,467.67 = 597.75 : x
  2. Step 2: Convert to fraction form
    1,063.59/1,467.67 = 597.75/x
  3. Step 3: Cross multiply
    1,063.59x = 1,467.67 × 597.75
  4. Step 4: Simplify right side
    1,063.59x = 877,299.74
  5. Step 5: Solve for x
    x = 877,299.74/1,063.59
  6. Step 6: Final answer
    x = 824.85

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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.