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Finding the Fourth Proportional to 848.03, 1,169.87 and 533.14

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Solution

The fourth proportional to 848.03, 1,169.87 and 533.14 is: 735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.03 : 1,169.87 = 533.14 : x
  2. Step 2: Convert to fraction form
    848.03/1,169.87 = 533.14/x
  3. Step 3: Cross multiply
    848.03x = 1,169.87 × 533.14
  4. Step 4: Simplify right side
    848.03x = 623,698.90
  5. Step 5: Solve for x
    x = 623,698.90/848.03
  6. Step 6: Final answer
    x = 735.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.