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Finding the Fourth Proportional to 1,035.31, 1,552.65 and 377.10

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Solution

The fourth proportional to 1,035.31, 1,552.65 and 377.10 is: 565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.31 : 1,552.65 = 377.10 : x
  2. Step 2: Convert to fraction form
    1,035.31/1,552.65 = 377.10/x
  3. Step 3: Cross multiply
    1,035.31x = 1,552.65 × 377.10
  4. Step 4: Simplify right side
    1,035.31x = 585,504.32
  5. Step 5: Solve for x
    x = 585,504.32/1,035.31
  6. Step 6: Final answer
    x = 565.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.