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Finding the Fourth Proportional to 916.08, 1,264.32 and 584.40

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Solution

The fourth proportional to 916.08, 1,264.32 and 584.40 is: 806.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.08 : 1,264.32 = 584.40 : x
  2. Step 2: Convert to fraction form
    916.08/1,264.32 = 584.40/x
  3. Step 3: Cross multiply
    916.08x = 1,264.32 × 584.40
  4. Step 4: Simplify right side
    916.08x = 738,868.61
  5. Step 5: Solve for x
    x = 738,868.61/916.08
  6. Step 6: Final answer
    x = 806.55

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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.