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Finding the Fourth Proportional to 723.30, 998.64 and 557.22

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Solution

The fourth proportional to 723.30, 998.64 and 557.22 is: 769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.30 : 998.64 = 557.22 : x
  2. Step 2: Convert to fraction form
    723.30/998.64 = 557.22/x
  3. Step 3: Cross multiply
    723.30x = 998.64 × 557.22
  4. Step 4: Simplify right side
    723.30x = 556,462.18
  5. Step 5: Solve for x
    x = 556,462.18/723.30
  6. Step 6: Final answer
    x = 769.34

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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.