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Finding the Fourth Proportional to 971.36, 1,457.76 and 458.72

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Solution

The fourth proportional to 971.36, 1,457.76 and 458.72 is: 688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.36 : 1,457.76 = 458.72 : x
  2. Step 2: Convert to fraction form
    971.36/1,457.76 = 458.72/x
  3. Step 3: Cross multiply
    971.36x = 1,457.76 × 458.72
  4. Step 4: Simplify right side
    971.36x = 668,703.67
  5. Step 5: Solve for x
    x = 668,703.67/971.36
  6. Step 6: Final answer
    x = 688.42

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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.