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Finding the Fourth Proportional to 1,178.05, 1,625.70 and 646.93

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Solution

The fourth proportional to 1,178.05, 1,625.70 and 646.93 is: 892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.05 : 1,625.70 = 646.93 : x
  2. Step 2: Convert to fraction form
    1,178.05/1,625.70 = 646.93/x
  3. Step 3: Cross multiply
    1,178.05x = 1,625.70 × 646.93
  4. Step 4: Simplify right side
    1,178.05x = 1,051,705.97
  5. Step 5: Solve for x
    x = 1,051,705.97/1,178.05
  6. Step 6: Final answer
    x = 892.76

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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.