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Finding the Fourth Proportional to 904.60, 1,355.95 and 575.79

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Solution

The fourth proportional to 904.60, 1,355.95 and 575.79 is: 863.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.60 : 1,355.95 = 575.79 : x
  2. Step 2: Convert to fraction form
    904.60/1,355.95 = 575.79/x
  3. Step 3: Cross multiply
    904.60x = 1,355.95 × 575.79
  4. Step 4: Simplify right side
    904.60x = 780,742.45
  5. Step 5: Solve for x
    x = 780,742.45/904.60
  6. Step 6: Final answer
    x = 863.08

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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.