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Finding the Fourth Proportional to 840.34, 1,158.96 and 541.64

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Solution

The fourth proportional to 840.34, 1,158.96 and 541.64 is: 747.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.34 : 1,158.96 = 541.64 : x
  2. Step 2: Convert to fraction form
    840.34/1,158.96 = 541.64/x
  3. Step 3: Cross multiply
    840.34x = 1,158.96 × 541.64
  4. Step 4: Simplify right side
    840.34x = 627,739.09
  5. Step 5: Solve for x
    x = 627,739.09/840.34
  6. Step 6: Final answer
    x = 747.01

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1.5x scale

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.