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Finding the Fourth Proportional to 1,113.40, 1,669.86 and 535.96

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Solution

The fourth proportional to 1,113.40, 1,669.86 and 535.96 is: 803.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.40 : 1,669.86 = 535.96 : x
  2. Step 2: Convert to fraction form
    1,113.40/1,669.86 = 535.96/x
  3. Step 3: Cross multiply
    1,113.40x = 1,669.86 × 535.96
  4. Step 4: Simplify right side
    1,113.40x = 894,978.17
  5. Step 5: Solve for x
    x = 894,978.17/1,113.40
  6. Step 6: Final answer
    x = 803.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.