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Finding the Fourth Proportional to 1,062.34, 1,466.18 and 642.74

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Solution

The fourth proportional to 1,062.34, 1,466.18 and 642.74 is: 887.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.34 : 1,466.18 = 642.74 : x
  2. Step 2: Convert to fraction form
    1,062.34/1,466.18 = 642.74/x
  3. Step 3: Cross multiply
    1,062.34x = 1,466.18 × 642.74
  4. Step 4: Simplify right side
    1,062.34x = 942,372.53
  5. Step 5: Solve for x
    x = 942,372.53/1,062.34
  6. Step 6: Final answer
    x = 887.07

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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.