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Finding the Fourth Proportional to 1,589.66, 2,384.50 and 435.42

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Solution

The fourth proportional to 1,589.66, 2,384.50 and 435.42 is: 653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.66 : 2,384.50 = 435.42 : x
  2. Step 2: Convert to fraction form
    1,589.66/2,384.50 = 435.42/x
  3. Step 3: Cross multiply
    1,589.66x = 2,384.50 × 435.42
  4. Step 4: Simplify right side
    1,589.66x = 1,038,258.99
  5. Step 5: Solve for x
    x = 1,038,258.99/1,589.66
  6. Step 6: Final answer
    x = 653.13

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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.