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Finding the Fourth Proportional to 903.13, 1,354.69 and 416.06

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Solution

The fourth proportional to 903.13, 1,354.69 and 416.06 is: 624.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.13 : 1,354.69 = 416.06 : x
  2. Step 2: Convert to fraction form
    903.13/1,354.69 = 416.06/x
  3. Step 3: Cross multiply
    903.13x = 1,354.69 × 416.06
  4. Step 4: Simplify right side
    903.13x = 563,632.32
  5. Step 5: Solve for x
    x = 563,632.32/903.13
  6. Step 6: Final answer
    x = 624.09

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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.