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Finding the Fourth Proportional to 795.35, 1,098.55 and 585.23

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Solution

The fourth proportional to 795.35, 1,098.55 and 585.23 is: 808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.35 : 1,098.55 = 585.23 : x
  2. Step 2: Convert to fraction form
    795.35/1,098.55 = 585.23/x
  3. Step 3: Cross multiply
    795.35x = 1,098.55 × 585.23
  4. Step 4: Simplify right side
    795.35x = 642,896.36
  5. Step 5: Solve for x
    x = 642,896.36/795.35
  6. Step 6: Final answer
    x = 808.32

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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.