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Finding the Fourth Proportional to 1,193.47, 1,646.98 and 662.35

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Solution

The fourth proportional to 1,193.47, 1,646.98 and 662.35 is: 914.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.47 : 1,646.98 = 662.35 : x
  2. Step 2: Convert to fraction form
    1,193.47/1,646.98 = 662.35/x
  3. Step 3: Cross multiply
    1,193.47x = 1,646.98 × 662.35
  4. Step 4: Simplify right side
    1,193.47x = 1,090,877.20
  5. Step 5: Solve for x
    x = 1,090,877.20/1,193.47
  6. Step 6: Final answer
    x = 914.04

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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.