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Finding the Fourth Proportional to 880.96, 1,215.12 and 647.68

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Solution

The fourth proportional to 880.96, 1,215.12 and 647.68 is: 893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.96 : 1,215.12 = 647.68 : x
  2. Step 2: Convert to fraction form
    880.96/1,215.12 = 647.68/x
  3. Step 3: Cross multiply
    880.96x = 1,215.12 × 647.68
  4. Step 4: Simplify right side
    880.96x = 787,008.92
  5. Step 5: Solve for x
    x = 787,008.92/880.96
  6. Step 6: Final answer
    x = 893.35

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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.