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Finding the Fourth Proportional to 795.55, 1,097.45 and 547.00

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Solution

The fourth proportional to 795.55, 1,097.45 and 547.00 is: 754.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.55 : 1,097.45 = 547.00 : x
  2. Step 2: Convert to fraction form
    795.55/1,097.45 = 547.00/x
  3. Step 3: Cross multiply
    795.55x = 1,097.45 × 547.00
  4. Step 4: Simplify right side
    795.55x = 600,307.90
  5. Step 5: Solve for x
    x = 600,307.90/795.55
  6. Step 6: Final answer
    x = 754.59

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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.