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Finding the Fourth Proportional to 744.93, 1,027.87 and 465.10

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Solution

The fourth proportional to 744.93, 1,027.87 and 465.10 is: 641.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.93 : 1,027.87 = 465.10 : x
  2. Step 2: Convert to fraction form
    744.93/1,027.87 = 465.10/x
  3. Step 3: Cross multiply
    744.93x = 1,027.87 × 465.10
  4. Step 4: Simplify right side
    744.93x = 478,062.34
  5. Step 5: Solve for x
    x = 478,062.34/744.93
  6. Step 6: Final answer
    x = 641.75

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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.