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Finding the Fourth Proportional to 864.76, 1,297.54 and 469.57

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Solution

The fourth proportional to 864.76, 1,297.54 and 469.57 is: 704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.76 : 1,297.54 = 469.57 : x
  2. Step 2: Convert to fraction form
    864.76/1,297.54 = 469.57/x
  3. Step 3: Cross multiply
    864.76x = 1,297.54 × 469.57
  4. Step 4: Simplify right side
    864.76x = 609,285.86
  5. Step 5: Solve for x
    x = 609,285.86/864.76
  6. Step 6: Final answer
    x = 704.57

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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.