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Finding the Fourth Proportional to 1,041.62, 1,561.88 and 578.70

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Solution

The fourth proportional to 1,041.62, 1,561.88 and 578.70 is: 867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.62 : 1,561.88 = 578.70 : x
  2. Step 2: Convert to fraction form
    1,041.62/1,561.88 = 578.70/x
  3. Step 3: Cross multiply
    1,041.62x = 1,561.88 × 578.70
  4. Step 4: Simplify right side
    1,041.62x = 903,857.06
  5. Step 5: Solve for x
    x = 903,857.06/1,041.62
  6. Step 6: Final answer
    x = 867.75

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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.