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Finding the Fourth Proportional to 1,047.79, 1,445.83 and 753.67

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Solution

The fourth proportional to 1,047.79, 1,445.83 and 753.67 is: 1,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.79 : 1,445.83 = 753.67 : x
  2. Step 2: Convert to fraction form
    1,047.79/1,445.83 = 753.67/x
  3. Step 3: Cross multiply
    1,047.79x = 1,445.83 × 753.67
  4. Step 4: Simplify right side
    1,047.79x = 1,089,678.70
  5. Step 5: Solve for x
    x = 1,089,678.70/1,047.79
  6. Step 6: Final answer
    x = 1,039.98

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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.