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Finding the Fourth Proportional to 1,094.96, 1,633.01 and 931.46

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Solution

The fourth proportional to 1,094.96, 1,633.01 and 931.46 is: 1,389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.96 : 1,633.01 = 931.46 : x
  2. Step 2: Convert to fraction form
    1,094.96/1,633.01 = 931.46/x
  3. Step 3: Cross multiply
    1,094.96x = 1,633.01 × 931.46
  4. Step 4: Simplify right side
    1,094.96x = 1,521,083.49
  5. Step 5: Solve for x
    x = 1,521,083.49/1,094.96
  6. Step 6: Final answer
    x = 1,389.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.