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Finding the Fourth Proportional to 1,135.76, 1,567.39 and 693.35

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Solution

The fourth proportional to 1,135.76, 1,567.39 and 693.35 is: 956.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.76 : 1,567.39 = 693.35 : x
  2. Step 2: Convert to fraction form
    1,135.76/1,567.39 = 693.35/x
  3. Step 3: Cross multiply
    1,135.76x = 1,567.39 × 693.35
  4. Step 4: Simplify right side
    1,135.76x = 1,086,749.86
  5. Step 5: Solve for x
    x = 1,086,749.86/1,135.76
  6. Step 6: Final answer
    x = 956.85

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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.