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Finding the Fourth Proportional to 1,111.76, 1,668.06 and 462.32

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Solution

The fourth proportional to 1,111.76, 1,668.06 and 462.32 is: 693.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.76 : 1,668.06 = 462.32 : x
  2. Step 2: Convert to fraction form
    1,111.76/1,668.06 = 462.32/x
  3. Step 3: Cross multiply
    1,111.76x = 1,668.06 × 462.32
  4. Step 4: Simplify right side
    1,111.76x = 771,169.16
  5. Step 5: Solve for x
    x = 771,169.16/1,111.76
  6. Step 6: Final answer
    x = 693.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.