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Finding the Fourth Proportional to 1,123.62, 1,551.08 and 703.89

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Solution

The fourth proportional to 1,123.62, 1,551.08 and 703.89 is: 971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.62 : 1,551.08 = 703.89 : x
  2. Step 2: Convert to fraction form
    1,123.62/1,551.08 = 703.89/x
  3. Step 3: Cross multiply
    1,123.62x = 1,551.08 × 703.89
  4. Step 4: Simplify right side
    1,123.62x = 1,091,789.70
  5. Step 5: Solve for x
    x = 1,091,789.70/1,123.62
  6. Step 6: Final answer
    x = 971.67

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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.