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Finding the Fourth Proportional to 1,047.03, 1,578.29 and 987.34

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Solution

The fourth proportional to 1,047.03, 1,578.29 and 987.34 is: 1,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.03 : 1,578.29 = 987.34 : x
  2. Step 2: Convert to fraction form
    1,047.03/1,578.29 = 987.34/x
  3. Step 3: Cross multiply
    1,047.03x = 1,578.29 × 987.34
  4. Step 4: Simplify right side
    1,047.03x = 1,558,302.93
  5. Step 5: Solve for x
    x = 1,558,302.93/1,047.03
  6. Step 6: Final answer
    x = 1,488.31

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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.