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Finding the Fourth Proportional to 764.02, 1,054.32 and 414.70

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Solution

The fourth proportional to 764.02, 1,054.32 and 414.70 is: 572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.02 : 1,054.32 = 414.70 : x
  2. Step 2: Convert to fraction form
    764.02/1,054.32 = 414.70/x
  3. Step 3: Cross multiply
    764.02x = 1,054.32 × 414.70
  4. Step 4: Simplify right side
    764.02x = 437,226.50
  5. Step 5: Solve for x
    x = 437,226.50/764.02
  6. Step 6: Final answer
    x = 572.27

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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.