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Finding the Fourth Proportional to 764.08, 1,054.71 and 465.19

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Solution

The fourth proportional to 764.08, 1,054.71 and 465.19 is: 642.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.08 : 1,054.71 = 465.19 : x
  2. Step 2: Convert to fraction form
    764.08/1,054.71 = 465.19/x
  3. Step 3: Cross multiply
    764.08x = 1,054.71 × 465.19
  4. Step 4: Simplify right side
    764.08x = 490,638.22
  5. Step 5: Solve for x
    x = 490,638.22/764.08
  6. Step 6: Final answer
    x = 642.13

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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.