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Finding the Fourth Proportional to 864.51, 1,297.10 and 317.07

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Solution

The fourth proportional to 864.51, 1,297.10 and 317.07 is: 475.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.51 : 1,297.10 = 317.07 : x
  2. Step 2: Convert to fraction form
    864.51/1,297.10 = 317.07/x
  3. Step 3: Cross multiply
    864.51x = 1,297.10 × 317.07
  4. Step 4: Simplify right side
    864.51x = 411,271.50
  5. Step 5: Solve for x
    x = 411,271.50/864.51
  6. Step 6: Final answer
    x = 475.73

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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.