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Finding the Fourth Proportional to 937.50, 1,294.56 and 705.84

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Solution

The fourth proportional to 937.50, 1,294.56 and 705.84 is: 974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.50 : 1,294.56 = 705.84 : x
  2. Step 2: Convert to fraction form
    937.50/1,294.56 = 705.84/x
  3. Step 3: Cross multiply
    937.50x = 1,294.56 × 705.84
  4. Step 4: Simplify right side
    937.50x = 913,752.23
  5. Step 5: Solve for x
    x = 913,752.23/937.50
  6. Step 6: Final answer
    x = 974.67

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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.