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Finding the Fourth Proportional to 1,117.22, 1,542.35 and 697.95

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Solution

The fourth proportional to 1,117.22, 1,542.35 and 697.95 is: 963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.22 : 1,542.35 = 697.95 : x
  2. Step 2: Convert to fraction form
    1,117.22/1,542.35 = 697.95/x
  3. Step 3: Cross multiply
    1,117.22x = 1,542.35 × 697.95
  4. Step 4: Simplify right side
    1,117.22x = 1,076,484.93
  5. Step 5: Solve for x
    x = 1,076,484.93/1,117.22
  6. Step 6: Final answer
    x = 963.54

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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.