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Finding the Fourth Proportional to 1,132, 1,698.64 and 524

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Solution

The fourth proportional to 1,132, 1,698.64 and 524 is: 786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132 : 1,698.64 = 524 : x
  2. Step 2: Convert to fraction form
    1,132/1,698.64 = 524/x
  3. Step 3: Cross multiply
    1,132x = 1,698.64 × 524
  4. Step 4: Simplify right side
    1,132x = 890,087.36
  5. Step 5: Solve for x
    x = 890,087.36/1,132
  6. Step 6: Final answer
    x = 786.30

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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.