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Finding the Fourth Proportional to 971.64, 1,457.70 and 287.64

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Solution

The fourth proportional to 971.64, 1,457.70 and 287.64 is: 431.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.64 : 1,457.70 = 287.64 : x
  2. Step 2: Convert to fraction form
    971.64/1,457.70 = 287.64/x
  3. Step 3: Cross multiply
    971.64x = 1,457.70 × 287.64
  4. Step 4: Simplify right side
    971.64x = 419,292.83
  5. Step 5: Solve for x
    x = 419,292.83/971.64
  6. Step 6: Final answer
    x = 431.53

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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.