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Finding the Fourth Proportional to 1,038.14, 1,556.72 and 551.06

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Solution

The fourth proportional to 1,038.14, 1,556.72 and 551.06 is: 826.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.14 : 1,556.72 = 551.06 : x
  2. Step 2: Convert to fraction form
    1,038.14/1,556.72 = 551.06/x
  3. Step 3: Cross multiply
    1,038.14x = 1,556.72 × 551.06
  4. Step 4: Simplify right side
    1,038.14x = 857,846.12
  5. Step 5: Solve for x
    x = 857,846.12/1,038.14
  6. Step 6: Final answer
    x = 826.33

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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.