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Finding the Fourth Proportional to 764.71, 1,054.76 and 470.14

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Solution

The fourth proportional to 764.71, 1,054.76 and 470.14 is: 648.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.71 : 1,054.76 = 470.14 : x
  2. Step 2: Convert to fraction form
    764.71/1,054.76 = 470.14/x
  3. Step 3: Cross multiply
    764.71x = 1,054.76 × 470.14
  4. Step 4: Simplify right side
    764.71x = 495,886.04
  5. Step 5: Solve for x
    x = 495,886.04/764.71
  6. Step 6: Final answer
    x = 648.46

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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.