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Finding the Fourth Proportional to 1,112.59, 1,667.68 and 592.06

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Solution

The fourth proportional to 1,112.59, 1,667.68 and 592.06 is: 887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.59 : 1,667.68 = 592.06 : x
  2. Step 2: Convert to fraction form
    1,112.59/1,667.68 = 592.06/x
  3. Step 3: Cross multiply
    1,112.59x = 1,667.68 × 592.06
  4. Step 4: Simplify right side
    1,112.59x = 987,363.66
  5. Step 5: Solve for x
    x = 987,363.66/1,112.59
  6. Step 6: Final answer
    x = 887.45

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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.