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Finding the Fourth Proportional to 714.34, 986.09 and 434.67

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Solution

The fourth proportional to 714.34, 986.09 and 434.67 is: 600.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.34 : 986.09 = 434.67 : x
  2. Step 2: Convert to fraction form
    714.34/986.09 = 434.67/x
  3. Step 3: Cross multiply
    714.34x = 986.09 × 434.67
  4. Step 4: Simplify right side
    714.34x = 428,618.81
  5. Step 5: Solve for x
    x = 428,618.81/714.34
  6. Step 6: Final answer
    x = 600.02

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1.5x scale

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.