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Finding the Fourth Proportional to 1,111.50, 1,666.17 and 746.38

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Solution

The fourth proportional to 1,111.50, 1,666.17 and 746.38 is: 1,118.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.50 : 1,666.17 = 746.38 : x
  2. Step 2: Convert to fraction form
    1,111.50/1,666.17 = 746.38/x
  3. Step 3: Cross multiply
    1,111.50x = 1,666.17 × 746.38
  4. Step 4: Simplify right side
    1,111.50x = 1,243,595.96
  5. Step 5: Solve for x
    x = 1,243,595.96/1,111.50
  6. Step 6: Final answer
    x = 1,118.84

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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.