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Finding the Fourth Proportional to 795.60, 1,097.64 and 546.48

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Solution

The fourth proportional to 795.60, 1,097.64 and 546.48 is: 753.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.60 : 1,097.64 = 546.48 : x
  2. Step 2: Convert to fraction form
    795.60/1,097.64 = 546.48/x
  3. Step 3: Cross multiply
    795.60x = 1,097.64 × 546.48
  4. Step 4: Simplify right side
    795.60x = 599,838.31
  5. Step 5: Solve for x
    x = 599,838.31/795.60
  6. Step 6: Final answer
    x = 753.94

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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.