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Finding the Fourth Proportional to 1,111.30, 1,666.02 and 700.32

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Solution

The fourth proportional to 1,111.30, 1,666.02 and 700.32 is: 1,049.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.30 : 1,666.02 = 700.32 : x
  2. Step 2: Convert to fraction form
    1,111.30/1,666.02 = 700.32/x
  3. Step 3: Cross multiply
    1,111.30x = 1,666.02 × 700.32
  4. Step 4: Simplify right side
    1,111.30x = 1,166,747.13
  5. Step 5: Solve for x
    x = 1,166,747.13/1,111.30
  6. Step 6: Final answer
    x = 1,049.89

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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.