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Finding the Fourth Proportional to 707.49, 1,061.85 and 274.95

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Solution

The fourth proportional to 707.49, 1,061.85 and 274.95 is: 412.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.49 : 1,061.85 = 274.95 : x
  2. Step 2: Convert to fraction form
    707.49/1,061.85 = 274.95/x
  3. Step 3: Cross multiply
    707.49x = 1,061.85 × 274.95
  4. Step 4: Simplify right side
    707.49x = 291,957.62
  5. Step 5: Solve for x
    x = 291,957.62/707.49
  6. Step 6: Final answer
    x = 412.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.