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Finding the Fourth Proportional to 1,193.32, 1,646.90 and 801.16

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Solution

The fourth proportional to 1,193.32, 1,646.90 and 801.16 is: 1,105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.32 : 1,646.90 = 801.16 : x
  2. Step 2: Convert to fraction form
    1,193.32/1,646.90 = 801.16/x
  3. Step 3: Cross multiply
    1,193.32x = 1,646.90 × 801.16
  4. Step 4: Simplify right side
    1,193.32x = 1,319,430.40
  5. Step 5: Solve for x
    x = 1,319,430.40/1,193.32
  6. Step 6: Final answer
    x = 1,105.68

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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.