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Finding the Fourth Proportional to 684.29, 1,026.59 and 547.58

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Solution

The fourth proportional to 684.29, 1,026.59 and 547.58 is: 821.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.29 : 1,026.59 = 547.58 : x
  2. Step 2: Convert to fraction form
    684.29/1,026.59 = 547.58/x
  3. Step 3: Cross multiply
    684.29x = 1,026.59 × 547.58
  4. Step 4: Simplify right side
    684.29x = 562,132.28
  5. Step 5: Solve for x
    x = 562,132.28/684.29
  6. Step 6: Final answer
    x = 821.49

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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.