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Finding the Fourth Proportional to 1,045.06, 1,437.91 and 904.73

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Solution

The fourth proportional to 1,045.06, 1,437.91 and 904.73 is: 1,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.06 : 1,437.91 = 904.73 : x
  2. Step 2: Convert to fraction form
    1,045.06/1,437.91 = 904.73/x
  3. Step 3: Cross multiply
    1,045.06x = 1,437.91 × 904.73
  4. Step 4: Simplify right side
    1,045.06x = 1,300,910.86
  5. Step 5: Solve for x
    x = 1,300,910.86/1,045.06
  6. Step 6: Final answer
    x = 1,244.82

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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.