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Finding the Fourth Proportional to 724.59, 999.68 and 463.05

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Solution

The fourth proportional to 724.59, 999.68 and 463.05 is: 638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.59 : 999.68 = 463.05 : x
  2. Step 2: Convert to fraction form
    724.59/999.68 = 463.05/x
  3. Step 3: Cross multiply
    724.59x = 999.68 × 463.05
  4. Step 4: Simplify right side
    724.59x = 462,899.51
  5. Step 5: Solve for x
    x = 462,899.51/724.59
  6. Step 6: Final answer
    x = 638.84

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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.