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Finding the Fourth Proportional to 916.94, 1,264.65 and 585.58

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Solution

The fourth proportional to 916.94, 1,264.65 and 585.58 is: 807.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.94 : 1,264.65 = 585.58 : x
  2. Step 2: Convert to fraction form
    916.94/1,264.65 = 585.58/x
  3. Step 3: Cross multiply
    916.94x = 1,264.65 × 585.58
  4. Step 4: Simplify right side
    916.94x = 740,553.75
  5. Step 5: Solve for x
    x = 740,553.75/916.94
  6. Step 6: Final answer
    x = 807.64

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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.