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Finding the Fourth Proportional to 903.76, 1,353.17 and 470.00

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Solution

The fourth proportional to 903.76, 1,353.17 and 470.00 is: 703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.76 : 1,353.17 = 470.00 : x
  2. Step 2: Convert to fraction form
    903.76/1,353.17 = 470.00/x
  3. Step 3: Cross multiply
    903.76x = 1,353.17 × 470.00
  4. Step 4: Simplify right side
    903.76x = 635,994.46
  5. Step 5: Solve for x
    x = 635,994.46/903.76
  6. Step 6: Final answer
    x = 703.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.