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Finding the Fourth Proportional to 744.65, 1,027.76 and 430.12

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Solution

The fourth proportional to 744.65, 1,027.76 and 430.12 is: 593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.65 : 1,027.76 = 430.12 : x
  2. Step 2: Convert to fraction form
    744.65/1,027.76 = 430.12/x
  3. Step 3: Cross multiply
    744.65x = 1,027.76 × 430.12
  4. Step 4: Simplify right side
    744.65x = 442,060.13
  5. Step 5: Solve for x
    x = 442,060.13/744.65
  6. Step 6: Final answer
    x = 593.65

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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.