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Finding the Fourth Proportional to 1,466.77, 2,200.10 and 589.01

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Solution

The fourth proportional to 1,466.77, 2,200.10 and 589.01 is: 883.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.77 : 2,200.10 = 589.01 : x
  2. Step 2: Convert to fraction form
    1,466.77/2,200.10 = 589.01/x
  3. Step 3: Cross multiply
    1,466.77x = 2,200.10 × 589.01
  4. Step 4: Simplify right side
    1,466.77x = 1,295,880.90
  5. Step 5: Solve for x
    x = 1,295,880.90/1,466.77
  6. Step 6: Final answer
    x = 883.49

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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.