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Finding the Fourth Proportional to 1,114.57, 1,670.75 and 528.54

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Solution

The fourth proportional to 1,114.57, 1,670.75 and 528.54 is: 792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.57 : 1,670.75 = 528.54 : x
  2. Step 2: Convert to fraction form
    1,114.57/1,670.75 = 528.54/x
  3. Step 3: Cross multiply
    1,114.57x = 1,670.75 × 528.54
  4. Step 4: Simplify right side
    1,114.57x = 883,058.21
  5. Step 5: Solve for x
    x = 883,058.21/1,114.57
  6. Step 6: Final answer
    x = 792.29

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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.