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Finding the Fourth Proportional to 1,389.68, 2,084.51 and 567.77

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Solution

The fourth proportional to 1,389.68, 2,084.51 and 567.77 is: 851.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.68 : 2,084.51 = 567.77 : x
  2. Step 2: Convert to fraction form
    1,389.68/2,084.51 = 567.77/x
  3. Step 3: Cross multiply
    1,389.68x = 2,084.51 × 567.77
  4. Step 4: Simplify right side
    1,389.68x = 1,183,513.24
  5. Step 5: Solve for x
    x = 1,183,513.24/1,389.68
  6. Step 6: Final answer
    x = 851.65

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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.