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Finding the Fourth Proportional to 624.35, 856.99 and 597.62

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Solution

The fourth proportional to 624.35, 856.99 and 597.62 is: 820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.35 : 856.99 = 597.62 : x
  2. Step 2: Convert to fraction form
    624.35/856.99 = 597.62/x
  3. Step 3: Cross multiply
    624.35x = 856.99 × 597.62
  4. Step 4: Simplify right side
    624.35x = 512,154.36
  5. Step 5: Solve for x
    x = 512,154.36/624.35
  6. Step 6: Final answer
    x = 820.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.