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Finding the Fourth Proportional to 916.67, 1,264.99 and 518.32

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Solution

The fourth proportional to 916.67, 1,264.99 and 518.32 is: 715.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.67 : 1,264.99 = 518.32 : x
  2. Step 2: Convert to fraction form
    916.67/1,264.99 = 518.32/x
  3. Step 3: Cross multiply
    916.67x = 1,264.99 × 518.32
  4. Step 4: Simplify right side
    916.67x = 655,670.19
  5. Step 5: Solve for x
    x = 655,670.19/916.67
  6. Step 6: Final answer
    x = 715.28

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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.