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Finding the Fourth Proportional to 1,062.40, 1,466.32 and 664.30

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Solution

The fourth proportional to 1,062.40, 1,466.32 and 664.30 is: 916.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.40 : 1,466.32 = 664.30 : x
  2. Step 2: Convert to fraction form
    1,062.40/1,466.32 = 664.30/x
  3. Step 3: Cross multiply
    1,062.40x = 1,466.32 × 664.30
  4. Step 4: Simplify right side
    1,062.40x = 974,074.99
  5. Step 5: Solve for x
    x = 974,074.99/1,062.40
  6. Step 6: Final answer
    x = 916.86

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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.