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Finding the Fourth Proportional to 890.76, 1,229.16 and 705.72

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Solution

The fourth proportional to 890.76, 1,229.16 and 705.72 is: 973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.76 : 1,229.16 = 705.72 : x
  2. Step 2: Convert to fraction form
    890.76/1,229.16 = 705.72/x
  3. Step 3: Cross multiply
    890.76x = 1,229.16 × 705.72
  4. Step 4: Simplify right side
    890.76x = 867,442.80
  5. Step 5: Solve for x
    x = 867,442.80/890.76
  6. Step 6: Final answer
    x = 973.82

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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.