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Finding the Fourth Proportional to 1,116.61, 1,676.01 and 706.54

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Solution

The fourth proportional to 1,116.61, 1,676.01 and 706.54 is: 1,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.61 : 1,676.01 = 706.54 : x
  2. Step 2: Convert to fraction form
    1,116.61/1,676.01 = 706.54/x
  3. Step 3: Cross multiply
    1,116.61x = 1,676.01 × 706.54
  4. Step 4: Simplify right side
    1,116.61x = 1,184,168.11
  5. Step 5: Solve for x
    x = 1,184,168.11/1,116.61
  6. Step 6: Final answer
    x = 1,060.50

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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.