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Finding the Fourth Proportional to 707.30, 976.16 and 684.62

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Solution

The fourth proportional to 707.30, 976.16 and 684.62 is: 944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.30 : 976.16 = 684.62 : x
  2. Step 2: Convert to fraction form
    707.30/976.16 = 684.62/x
  3. Step 3: Cross multiply
    707.30x = 976.16 × 684.62
  4. Step 4: Simplify right side
    707.30x = 668,295.24
  5. Step 5: Solve for x
    x = 668,295.24/707.30
  6. Step 6: Final answer
    x = 944.85

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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.