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Finding the Fourth Proportional to 840.52, 1,160.00 and 467.58

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Solution

The fourth proportional to 840.52, 1,160.00 and 467.58 is: 645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.52 : 1,160.00 = 467.58 : x
  2. Step 2: Convert to fraction form
    840.52/1,160.00 = 467.58/x
  3. Step 3: Cross multiply
    840.52x = 1,160.00 × 467.58
  4. Step 4: Simplify right side
    840.52x = 542,384.66
  5. Step 5: Solve for x
    x = 542,384.66/840.52
  6. Step 6: Final answer
    x = 645.30

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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.