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Finding the Fourth Proportional to 1,376.82, 2,064.48 and 646.02

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Solution

The fourth proportional to 1,376.82, 2,064.48 and 646.02 is: 968.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.82 : 2,064.48 = 646.02 : x
  2. Step 2: Convert to fraction form
    1,376.82/2,064.48 = 646.02/x
  3. Step 3: Cross multiply
    1,376.82x = 2,064.48 × 646.02
  4. Step 4: Simplify right side
    1,376.82x = 1,333,695.37
  5. Step 5: Solve for x
    x = 1,333,695.37/1,376.82
  6. Step 6: Final answer
    x = 968.68

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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.