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Finding the Fourth Proportional to 763.86, 1,146.32 and 417.26

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Solution

The fourth proportional to 763.86, 1,146.32 and 417.26 is: 626.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.86 : 1,146.32 = 417.26 : x
  2. Step 2: Convert to fraction form
    763.86/1,146.32 = 417.26/x
  3. Step 3: Cross multiply
    763.86x = 1,146.32 × 417.26
  4. Step 4: Simplify right side
    763.86x = 478,313.48
  5. Step 5: Solve for x
    x = 478,313.48/763.86
  6. Step 6: Final answer
    x = 626.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.