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Finding the Fourth Proportional to 916.74, 1,264.68 and 585

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Solution

The fourth proportional to 916.74, 1,264.68 and 585 is: 807.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.74 : 1,264.68 = 585 : x
  2. Step 2: Convert to fraction form
    916.74/1,264.68 = 585/x
  3. Step 3: Cross multiply
    916.74x = 1,264.68 × 585
  4. Step 4: Simplify right side
    916.74x = 739,837.80
  5. Step 5: Solve for x
    x = 739,837.80/916.74
  6. Step 6: Final answer
    x = 807.03

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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.