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Finding the Fourth Proportional to 662.36, 913.55 and 587.75

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Solution

The fourth proportional to 662.36, 913.55 and 587.75 is: 810.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.36 : 913.55 = 587.75 : x
  2. Step 2: Convert to fraction form
    662.36/913.55 = 587.75/x
  3. Step 3: Cross multiply
    662.36x = 913.55 × 587.75
  4. Step 4: Simplify right side
    662.36x = 536,931.51
  5. Step 5: Solve for x
    x = 536,931.51/662.36
  6. Step 6: Final answer
    x = 810.64

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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.