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Finding the Fourth Proportional to 1,164.08, 1,606.44 and 698.32

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Solution

The fourth proportional to 1,164.08, 1,606.44 and 698.32 is: 963.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.08 : 1,606.44 = 698.32 : x
  2. Step 2: Convert to fraction form
    1,164.08/1,606.44 = 698.32/x
  3. Step 3: Cross multiply
    1,164.08x = 1,606.44 × 698.32
  4. Step 4: Simplify right side
    1,164.08x = 1,121,809.18
  5. Step 5: Solve for x
    x = 1,121,809.18/1,164.08
  6. Step 6: Final answer
    x = 963.69

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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.