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Finding the Fourth Proportional to 840.10, 1,159.26 and 485.95

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Solution

The fourth proportional to 840.10, 1,159.26 and 485.95 is: 670.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.10 : 1,159.26 = 485.95 : x
  2. Step 2: Convert to fraction form
    840.10/1,159.26 = 485.95/x
  3. Step 3: Cross multiply
    840.10x = 1,159.26 × 485.95
  4. Step 4: Simplify right side
    840.10x = 563,336.60
  5. Step 5: Solve for x
    x = 563,336.60/840.10
  6. Step 6: Final answer
    x = 670.56

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