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Finding the Fourth Proportional to 1,038.34, 1,557.60 and 551.38

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Solution

The fourth proportional to 1,038.34, 1,557.60 and 551.38 is: 827.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.34 : 1,557.60 = 551.38 : x
  2. Step 2: Convert to fraction form
    1,038.34/1,557.60 = 551.38/x
  3. Step 3: Cross multiply
    1,038.34x = 1,557.60 × 551.38
  4. Step 4: Simplify right side
    1,038.34x = 858,829.49
  5. Step 5: Solve for x
    x = 858,829.49/1,038.34
  6. Step 6: Final answer
    x = 827.12

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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.