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Finding the Fourth Proportional to 1,176.15, 1,763.14 and 598.35

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Solution

The fourth proportional to 1,176.15, 1,763.14 and 598.35 is: 896.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.15 : 1,763.14 = 598.35 : x
  2. Step 2: Convert to fraction form
    1,176.15/1,763.14 = 598.35/x
  3. Step 3: Cross multiply
    1,176.15x = 1,763.14 × 598.35
  4. Step 4: Simplify right side
    1,176.15x = 1,054,974.82
  5. Step 5: Solve for x
    x = 1,054,974.82/1,176.15
  6. Step 6: Final answer
    x = 896.97

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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.