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Finding the Fourth Proportional to 840.56, 1,262.28 and 456.08

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Solution

The fourth proportional to 840.56, 1,262.28 and 456.08 is: 684.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.56 : 1,262.28 = 456.08 : x
  2. Step 2: Convert to fraction form
    840.56/1,262.28 = 456.08/x
  3. Step 3: Cross multiply
    840.56x = 1,262.28 × 456.08
  4. Step 4: Simplify right side
    840.56x = 575,700.66
  5. Step 5: Solve for x
    x = 575,700.66/840.56
  6. Step 6: Final answer
    x = 684.90

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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.