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Finding the Fourth Proportional to 1,132.78, 1,698.52 and 352.58

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Solution

The fourth proportional to 1,132.78, 1,698.52 and 352.58 is: 528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.78 : 1,698.52 = 352.58 : x
  2. Step 2: Convert to fraction form
    1,132.78/1,698.52 = 352.58/x
  3. Step 3: Cross multiply
    1,132.78x = 1,698.52 × 352.58
  4. Step 4: Simplify right side
    1,132.78x = 598,864.18
  5. Step 5: Solve for x
    x = 598,864.18/1,132.78
  6. Step 6: Final answer
    x = 528.67

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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.