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Finding the Fourth Proportional to 916.37, 1,264.56 and 518.05

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Solution

The fourth proportional to 916.37, 1,264.56 and 518.05 is: 714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.37 : 1,264.56 = 518.05 : x
  2. Step 2: Convert to fraction form
    916.37/1,264.56 = 518.05/x
  3. Step 3: Cross multiply
    916.37x = 1,264.56 × 518.05
  4. Step 4: Simplify right side
    916.37x = 655,102.15
  5. Step 5: Solve for x
    x = 655,102.15/916.37
  6. Step 6: Final answer
    x = 714.89

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