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Finding the Fourth Proportional to 1,696.36, 2,543.91 and 585.47

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Solution

The fourth proportional to 1,696.36, 2,543.91 and 585.47 is: 877.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.36 : 2,543.91 = 585.47 : x
  2. Step 2: Convert to fraction form
    1,696.36/2,543.91 = 585.47/x
  3. Step 3: Cross multiply
    1,696.36x = 2,543.91 × 585.47
  4. Step 4: Simplify right side
    1,696.36x = 1,489,382.99
  5. Step 5: Solve for x
    x = 1,489,382.99/1,696.36
  6. Step 6: Final answer
    x = 877.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.