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Finding the Fourth Proportional to 840.83, 1,159.65 and 575.42

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Solution

The fourth proportional to 840.83, 1,159.65 and 575.42 is: 793.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.83 : 1,159.65 = 575.42 : x
  2. Step 2: Convert to fraction form
    840.83/1,159.65 = 575.42/x
  3. Step 3: Cross multiply
    840.83x = 1,159.65 × 575.42
  4. Step 4: Simplify right side
    840.83x = 667,280.00
  5. Step 5: Solve for x
    x = 667,280.00/840.83
  6. Step 6: Final answer
    x = 793.60

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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.