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Finding the Fourth Proportional to 1,113.06, 1,666.49 and 562.54

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Solution

The fourth proportional to 1,113.06, 1,666.49 and 562.54 is: 842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.06 : 1,666.49 = 562.54 : x
  2. Step 2: Convert to fraction form
    1,113.06/1,666.49 = 562.54/x
  3. Step 3: Cross multiply
    1,113.06x = 1,666.49 × 562.54
  4. Step 4: Simplify right side
    1,113.06x = 937,467.28
  5. Step 5: Solve for x
    x = 937,467.28/1,113.06
  6. Step 6: Final answer
    x = 842.24

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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.