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Finding the Fourth Proportional to 880.22, 1,312.89 and 829.46

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Solution

The fourth proportional to 880.22, 1,312.89 and 829.46 is: 1,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.22 : 1,312.89 = 829.46 : x
  2. Step 2: Convert to fraction form
    880.22/1,312.89 = 829.46/x
  3. Step 3: Cross multiply
    880.22x = 1,312.89 × 829.46
  4. Step 4: Simplify right side
    880.22x = 1,088,985.59
  5. Step 5: Solve for x
    x = 1,088,985.59/880.22
  6. Step 6: Final answer
    x = 1,237.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.