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Finding the Fourth Proportional to 1,111.84, 1,668.72 and 428.32

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Solution

The fourth proportional to 1,111.84, 1,668.72 and 428.32 is: 642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.84 : 1,668.72 = 428.32 : x
  2. Step 2: Convert to fraction form
    1,111.84/1,668.72 = 428.32/x
  3. Step 3: Cross multiply
    1,111.84x = 1,668.72 × 428.32
  4. Step 4: Simplify right side
    1,111.84x = 714,746.15
  5. Step 5: Solve for x
    x = 714,746.15/1,111.84
  6. Step 6: Final answer
    x = 642.85

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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.