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Finding the Fourth Proportional to 798.54, 1,101.44 and 705.20

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Solution

The fourth proportional to 798.54, 1,101.44 and 705.20 is: 972.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.54 : 1,101.44 = 705.20 : x
  2. Step 2: Convert to fraction form
    798.54/1,101.44 = 705.20/x
  3. Step 3: Cross multiply
    798.54x = 1,101.44 × 705.20
  4. Step 4: Simplify right side
    798.54x = 776,726.45
  5. Step 5: Solve for x
    x = 776,726.45/798.54
  6. Step 6: Final answer
    x = 972.68

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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.