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Finding the Fourth Proportional to 904.15, 1,353.66 and 592.16

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Solution

The fourth proportional to 904.15, 1,353.66 and 592.16 is: 886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.15 : 1,353.66 = 592.16 : x
  2. Step 2: Convert to fraction form
    904.15/1,353.66 = 592.16/x
  3. Step 3: Cross multiply
    904.15x = 1,353.66 × 592.16
  4. Step 4: Simplify right side
    904.15x = 801,579.39
  5. Step 5: Solve for x
    x = 801,579.39/904.15
  6. Step 6: Final answer
    x = 886.56

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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.