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Finding the Fourth Proportional to 698.32, 960.46 and 586.24

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Solution

The fourth proportional to 698.32, 960.46 and 586.24 is: 806.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.32 : 960.46 = 586.24 : x
  2. Step 2: Convert to fraction form
    698.32/960.46 = 586.24/x
  3. Step 3: Cross multiply
    698.32x = 960.46 × 586.24
  4. Step 4: Simplify right side
    698.32x = 563,056.20
  5. Step 5: Solve for x
    x = 563,056.20/698.32
  6. Step 6: Final answer
    x = 806.30

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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.