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Finding the Fourth Proportional to 1,226.87, 1,840.76 and 569.06

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Solution

The fourth proportional to 1,226.87, 1,840.76 and 569.06 is: 853.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.87 : 1,840.76 = 569.06 : x
  2. Step 2: Convert to fraction form
    1,226.87/1,840.76 = 569.06/x
  3. Step 3: Cross multiply
    1,226.87x = 1,840.76 × 569.06
  4. Step 4: Simplify right side
    1,226.87x = 1,047,502.89
  5. Step 5: Solve for x
    x = 1,047,502.89/1,226.87
  6. Step 6: Final answer
    x = 853.80

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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.