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Finding the Fourth Proportional to 904.57, 1,357.16 and 575.91

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Solution

The fourth proportional to 904.57, 1,357.16 and 575.91 is: 864.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.57 : 1,357.16 = 575.91 : x
  2. Step 2: Convert to fraction form
    904.57/1,357.16 = 575.91/x
  3. Step 3: Cross multiply
    904.57x = 1,357.16 × 575.91
  4. Step 4: Simplify right side
    904.57x = 781,599.14
  5. Step 5: Solve for x
    x = 781,599.14/904.57
  6. Step 6: Final answer
    x = 864.06

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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.