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Finding the Fourth Proportional to 803.79, 1,205.63 and 478.88

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Solution

The fourth proportional to 803.79, 1,205.63 and 478.88 is: 718.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.79 : 1,205.63 = 478.88 : x
  2. Step 2: Convert to fraction form
    803.79/1,205.63 = 478.88/x
  3. Step 3: Cross multiply
    803.79x = 1,205.63 × 478.88
  4. Step 4: Simplify right side
    803.79x = 577,343.67
  5. Step 5: Solve for x
    x = 577,343.67/803.79
  6. Step 6: Final answer
    x = 718.28

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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.