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Finding the Fourth Proportional to 918.81, 1,268.82 and 588.02

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Solution

The fourth proportional to 918.81, 1,268.82 and 588.02 is: 812.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.81 : 1,268.82 = 588.02 : x
  2. Step 2: Convert to fraction form
    918.81/1,268.82 = 588.02/x
  3. Step 3: Cross multiply
    918.81x = 1,268.82 × 588.02
  4. Step 4: Simplify right side
    918.81x = 746,085.19
  5. Step 5: Solve for x
    x = 746,085.19/918.81
  6. Step 6: Final answer
    x = 812.01

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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.