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Finding the Fourth Proportional to 1,004.07, 1,503.90 and 651.44

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Solution

The fourth proportional to 1,004.07, 1,503.90 and 651.44 is: 975.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.07 : 1,503.90 = 651.44 : x
  2. Step 2: Convert to fraction form
    1,004.07/1,503.90 = 651.44/x
  3. Step 3: Cross multiply
    1,004.07x = 1,503.90 × 651.44
  4. Step 4: Simplify right side
    1,004.07x = 979,693.10
  5. Step 5: Solve for x
    x = 979,693.10/1,004.07
  6. Step 6: Final answer
    x = 975.72

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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.