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Finding the Fourth Proportional to 1,063.57, 1,467.70 and 597.82

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Solution

The fourth proportional to 1,063.57, 1,467.70 and 597.82 is: 824.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.57 : 1,467.70 = 597.82 : x
  2. Step 2: Convert to fraction form
    1,063.57/1,467.70 = 597.82/x
  3. Step 3: Cross multiply
    1,063.57x = 1,467.70 × 597.82
  4. Step 4: Simplify right side
    1,063.57x = 877,420.41
  5. Step 5: Solve for x
    x = 877,420.41/1,063.57
  6. Step 6: Final answer
    x = 824.98

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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.