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Finding the Fourth Proportional to 840.50, 1,159.89 and 472.50

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Solution

The fourth proportional to 840.50, 1,159.89 and 472.50 is: 652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.50 : 1,159.89 = 472.50 : x
  2. Step 2: Convert to fraction form
    840.50/1,159.89 = 472.50/x
  3. Step 3: Cross multiply
    840.50x = 1,159.89 × 472.50
  4. Step 4: Simplify right side
    840.50x = 548,048.03
  5. Step 5: Solve for x
    x = 548,048.03/840.50
  6. Step 6: Final answer
    x = 652.05

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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.