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Finding the Fourth Proportional to 1,063.68, 1,467.88 and 597.93

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Solution

The fourth proportional to 1,063.68, 1,467.88 and 597.93 is: 825.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.68 : 1,467.88 = 597.93 : x
  2. Step 2: Convert to fraction form
    1,063.68/1,467.88 = 597.93/x
  3. Step 3: Cross multiply
    1,063.68x = 1,467.88 × 597.93
  4. Step 4: Simplify right side
    1,063.68x = 877,689.49
  5. Step 5: Solve for x
    x = 877,689.49/1,063.68
  6. Step 6: Final answer
    x = 825.14

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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.