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Finding the Fourth Proportional to 795.84, 1,097.64 and 585.96

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Solution

The fourth proportional to 795.84, 1,097.64 and 585.96 is: 808.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.84 : 1,097.64 = 585.96 : x
  2. Step 2: Convert to fraction form
    795.84/1,097.64 = 585.96/x
  3. Step 3: Cross multiply
    795.84x = 1,097.64 × 585.96
  4. Step 4: Simplify right side
    795.84x = 643,173.13
  5. Step 5: Solve for x
    x = 643,173.13/795.84
  6. Step 6: Final answer
    x = 808.17

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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.