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Finding the Fourth Proportional to 1,113.59, 1,667.55 and 930.53

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Solution

The fourth proportional to 1,113.59, 1,667.55 and 930.53 is: 1,393.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.59 : 1,667.55 = 930.53 : x
  2. Step 2: Convert to fraction form
    1,113.59/1,667.55 = 930.53/x
  3. Step 3: Cross multiply
    1,113.59x = 1,667.55 × 930.53
  4. Step 4: Simplify right side
    1,113.59x = 1,551,705.30
  5. Step 5: Solve for x
    x = 1,551,705.30/1,113.59
  6. Step 6: Final answer
    x = 1,393.43

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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.