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Finding the Fourth Proportional to 1,071.51, 1,478.31 and 651.73

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Solution

The fourth proportional to 1,071.51, 1,478.31 and 651.73 is: 899.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.51 : 1,478.31 = 651.73 : x
  2. Step 2: Convert to fraction form
    1,071.51/1,478.31 = 651.73/x
  3. Step 3: Cross multiply
    1,071.51x = 1,478.31 × 651.73
  4. Step 4: Simplify right side
    1,071.51x = 963,458.98
  5. Step 5: Solve for x
    x = 963,458.98/1,071.51
  6. Step 6: Final answer
    x = 899.16

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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.