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Finding the Fourth Proportional to 1,097.10, 1,646.14 and 596.93

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Solution

The fourth proportional to 1,097.10, 1,646.14 and 596.93 is: 895.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.10 : 1,646.14 = 596.93 : x
  2. Step 2: Convert to fraction form
    1,097.10/1,646.14 = 596.93/x
  3. Step 3: Cross multiply
    1,097.10x = 1,646.14 × 596.93
  4. Step 4: Simplify right side
    1,097.10x = 982,630.35
  5. Step 5: Solve for x
    x = 982,630.35/1,097.10
  6. Step 6: Final answer
    x = 895.66

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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.