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Finding the Fourth Proportional to 795.32, 1,097.04 and 500.06

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Solution

The fourth proportional to 795.32, 1,097.04 and 500.06 is: 689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.32 : 1,097.04 = 500.06 : x
  2. Step 2: Convert to fraction form
    795.32/1,097.04 = 500.06/x
  3. Step 3: Cross multiply
    795.32x = 1,097.04 × 500.06
  4. Step 4: Simplify right side
    795.32x = 548,585.82
  5. Step 5: Solve for x
    x = 548,585.82/795.32
  6. Step 6: Final answer
    x = 689.77

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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.