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Finding the Fourth Proportional to 904.04, 1,247.41 and 505.71

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Solution

The fourth proportional to 904.04, 1,247.41 and 505.71 is: 697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.04 : 1,247.41 = 505.71 : x
  2. Step 2: Convert to fraction form
    904.04/1,247.41 = 505.71/x
  3. Step 3: Cross multiply
    904.04x = 1,247.41 × 505.71
  4. Step 4: Simplify right side
    904.04x = 630,818.95
  5. Step 5: Solve for x
    x = 630,818.95/904.04
  6. Step 6: Final answer
    x = 697.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.