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Finding the Fourth Proportional to 763.93, 1,054.21 and 414.62

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Solution

The fourth proportional to 763.93, 1,054.21 and 414.62 is: 572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.93 : 1,054.21 = 414.62 : x
  2. Step 2: Convert to fraction form
    763.93/1,054.21 = 414.62/x
  3. Step 3: Cross multiply
    763.93x = 1,054.21 × 414.62
  4. Step 4: Simplify right side
    763.93x = 437,094.48
  5. Step 5: Solve for x
    x = 437,094.48/763.93
  6. Step 6: Final answer
    x = 572.17

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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.