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Finding the Fourth Proportional to 1,188.67, 1,782.90 and 466.64

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Solution

The fourth proportional to 1,188.67, 1,782.90 and 466.64 is: 699.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.67 : 1,782.90 = 466.64 : x
  2. Step 2: Convert to fraction form
    1,188.67/1,782.90 = 466.64/x
  3. Step 3: Cross multiply
    1,188.67x = 1,782.90 × 466.64
  4. Step 4: Simplify right side
    1,188.67x = 831,970.81
  5. Step 5: Solve for x
    x = 831,970.81/1,188.67
  6. Step 6: Final answer
    x = 699.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.