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Finding the Fourth Proportional to 904.03, 1,353.88 and 464.12

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Solution

The fourth proportional to 904.03, 1,353.88 and 464.12 is: 695.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.03 : 1,353.88 = 464.12 : x
  2. Step 2: Convert to fraction form
    904.03/1,353.88 = 464.12/x
  3. Step 3: Cross multiply
    904.03x = 1,353.88 × 464.12
  4. Step 4: Simplify right side
    904.03x = 628,360.47
  5. Step 5: Solve for x
    x = 628,360.47/904.03
  6. Step 6: Final answer
    x = 695.07

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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.