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Finding the Fourth Proportional to 1,206.52, 1,808.64 and 589.90

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Solution

The fourth proportional to 1,206.52, 1,808.64 and 589.90 is: 884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.52 : 1,808.64 = 589.90 : x
  2. Step 2: Convert to fraction form
    1,206.52/1,808.64 = 589.90/x
  3. Step 3: Cross multiply
    1,206.52x = 1,808.64 × 589.90
  4. Step 4: Simplify right side
    1,206.52x = 1,066,916.74
  5. Step 5: Solve for x
    x = 1,066,916.74/1,206.52
  6. Step 6: Final answer
    x = 884.29

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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.