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Finding the Fourth Proportional to 1,068.35, 1,473.91 and 648.55

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Solution

The fourth proportional to 1,068.35, 1,473.91 and 648.55 is: 894.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.35 : 1,473.91 = 648.55 : x
  2. Step 2: Convert to fraction form
    1,068.35/1,473.91 = 648.55/x
  3. Step 3: Cross multiply
    1,068.35x = 1,473.91 × 648.55
  4. Step 4: Simplify right side
    1,068.35x = 955,899.02
  5. Step 5: Solve for x
    x = 955,899.02/1,068.35
  6. Step 6: Final answer
    x = 894.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.