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Finding the Fourth Proportional to 942.85, 1,300.48 and 663.67

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Solution

The fourth proportional to 942.85, 1,300.48 and 663.67 is: 915.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.85 : 1,300.48 = 663.67 : x
  2. Step 2: Convert to fraction form
    942.85/1,300.48 = 663.67/x
  3. Step 3: Cross multiply
    942.85x = 1,300.48 × 663.67
  4. Step 4: Simplify right side
    942.85x = 863,089.56
  5. Step 5: Solve for x
    x = 863,089.56/942.85
  6. Step 6: Final answer
    x = 915.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.