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Finding the Fourth Proportional to 903.13, 1,354.70 and 383.00

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Solution

The fourth proportional to 903.13, 1,354.70 and 383.00 is: 574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.13 : 1,354.70 = 383.00 : x
  2. Step 2: Convert to fraction form
    903.13/1,354.70 = 383.00/x
  3. Step 3: Cross multiply
    903.13x = 1,354.70 × 383.00
  4. Step 4: Simplify right side
    903.13x = 518,843.95
  5. Step 5: Solve for x
    x = 518,843.95/903.13
  6. Step 6: Final answer
    x = 574.50

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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.