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Finding the Fourth Proportional to 864.93, 1,297.34 and 454.32

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Solution

The fourth proportional to 864.93, 1,297.34 and 454.32 is: 681.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.93 : 1,297.34 = 454.32 : x
  2. Step 2: Convert to fraction form
    864.93/1,297.34 = 454.32/x
  3. Step 3: Cross multiply
    864.93x = 1,297.34 × 454.32
  4. Step 4: Simplify right side
    864.93x = 589,405.24
  5. Step 5: Solve for x
    x = 589,405.24/864.93
  6. Step 6: Final answer
    x = 681.45

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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.