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Finding the Fourth Proportional to 1,041.14, 1,561.68 and 357.14

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Solution

The fourth proportional to 1,041.14, 1,561.68 and 357.14 is: 535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.14 : 1,561.68 = 357.14 : x
  2. Step 2: Convert to fraction form
    1,041.14/1,561.68 = 357.14/x
  3. Step 3: Cross multiply
    1,041.14x = 1,561.68 × 357.14
  4. Step 4: Simplify right side
    1,041.14x = 557,738.40
  5. Step 5: Solve for x
    x = 557,738.40/1,041.14
  6. Step 6: Final answer
    x = 535.70

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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.