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Finding the Fourth Proportional to 1,111.84, 1,666.12 and 534.04

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Solution

The fourth proportional to 1,111.84, 1,666.12 and 534.04 is: 800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.84 : 1,666.12 = 534.04 : x
  2. Step 2: Convert to fraction form
    1,111.84/1,666.12 = 534.04/x
  3. Step 3: Cross multiply
    1,111.84x = 1,666.12 × 534.04
  4. Step 4: Simplify right side
    1,111.84x = 889,774.72
  5. Step 5: Solve for x
    x = 889,774.72/1,111.84
  6. Step 6: Final answer
    x = 800.27

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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.