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Finding the Fourth Proportional to 916.34, 1,264.74 and 566.96

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Solution

The fourth proportional to 916.34, 1,264.74 and 566.96 is: 782.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.34 : 1,264.74 = 566.96 : x
  2. Step 2: Convert to fraction form
    916.34/1,264.74 = 566.96/x
  3. Step 3: Cross multiply
    916.34x = 1,264.74 × 566.96
  4. Step 4: Simplify right side
    916.34x = 717,056.99
  5. Step 5: Solve for x
    x = 717,056.99/916.34
  6. Step 6: Final answer
    x = 782.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.