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Finding the Fourth Proportional to 684.80, 1,026.48 and 522.08

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Solution

The fourth proportional to 684.80, 1,026.48 and 522.08 is: 782.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.80 : 1,026.48 = 522.08 : x
  2. Step 2: Convert to fraction form
    684.80/1,026.48 = 522.08/x
  3. Step 3: Cross multiply
    684.80x = 1,026.48 × 522.08
  4. Step 4: Simplify right side
    684.80x = 535,904.68
  5. Step 5: Solve for x
    x = 535,904.68/684.80
  6. Step 6: Final answer
    x = 782.57

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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.