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Finding the Fourth Proportional to 971.87, 1,457.90 and 313.75

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Solution

The fourth proportional to 971.87, 1,457.90 and 313.75 is: 470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.87 : 1,457.90 = 313.75 : x
  2. Step 2: Convert to fraction form
    971.87/1,457.90 = 313.75/x
  3. Step 3: Cross multiply
    971.87x = 1,457.90 × 313.75
  4. Step 4: Simplify right side
    971.87x = 457,416.13
  5. Step 5: Solve for x
    x = 457,416.13/971.87
  6. Step 6: Final answer
    x = 470.66

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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.