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Finding the Fourth Proportional to 1,062.72, 1,602.05 and 972.48

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Solution

The fourth proportional to 1,062.72, 1,602.05 and 972.48 is: 1,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.72 : 1,602.05 = 972.48 : x
  2. Step 2: Convert to fraction form
    1,062.72/1,602.05 = 972.48/x
  3. Step 3: Cross multiply
    1,062.72x = 1,602.05 × 972.48
  4. Step 4: Simplify right side
    1,062.72x = 1,557,961.58
  5. Step 5: Solve for x
    x = 1,557,961.58/1,062.72
  6. Step 6: Final answer
    x = 1,466.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.