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Finding the Fourth Proportional to 795.41, 1,097.72 and 529.40

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Solution

The fourth proportional to 795.41, 1,097.72 and 529.40 is: 730.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.41 : 1,097.72 = 529.40 : x
  2. Step 2: Convert to fraction form
    795.41/1,097.72 = 529.40/x
  3. Step 3: Cross multiply
    795.41x = 1,097.72 × 529.40
  4. Step 4: Simplify right side
    795.41x = 581,124.83
  5. Step 5: Solve for x
    x = 581,124.83/795.41
  6. Step 6: Final answer
    x = 730.60

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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.