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Finding the Fourth Proportional to 1,164.13, 1,606.50 and 640.16

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Solution

The fourth proportional to 1,164.13, 1,606.50 and 640.16 is: 883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.13 : 1,606.50 = 640.16 : x
  2. Step 2: Convert to fraction form
    1,164.13/1,606.50 = 640.16/x
  3. Step 3: Cross multiply
    1,164.13x = 1,606.50 × 640.16
  4. Step 4: Simplify right side
    1,164.13x = 1,028,417.04
  5. Step 5: Solve for x
    x = 1,028,417.04/1,164.13
  6. Step 6: Final answer
    x = 883.42

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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.