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Finding the Fourth Proportional to 916.36, 1,264.80 and 584.74

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Solution

The fourth proportional to 916.36, 1,264.80 and 584.74 is: 807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.36 : 1,264.80 = 584.74 : x
  2. Step 2: Convert to fraction form
    916.36/1,264.80 = 584.74/x
  3. Step 3: Cross multiply
    916.36x = 1,264.80 × 584.74
  4. Step 4: Simplify right side
    916.36x = 739,579.15
  5. Step 5: Solve for x
    x = 739,579.15/916.36
  6. Step 6: Final answer
    x = 807.08

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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.