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Finding the Fourth Proportional to 1,097.04, 1,643.74 and 771.72

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Solution

The fourth proportional to 1,097.04, 1,643.74 and 771.72 is: 1,156.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.04 : 1,643.74 = 771.72 : x
  2. Step 2: Convert to fraction form
    1,097.04/1,643.74 = 771.72/x
  3. Step 3: Cross multiply
    1,097.04x = 1,643.74 × 771.72
  4. Step 4: Simplify right side
    1,097.04x = 1,268,503.17
  5. Step 5: Solve for x
    x = 1,268,503.17/1,097.04
  6. Step 6: Final answer
    x = 1,156.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.