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Finding the Fourth Proportional to 1,589.64, 2,384.42 and 435.40

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Solution

The fourth proportional to 1,589.64, 2,384.42 and 435.40 is: 653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.64 : 2,384.42 = 435.40 : x
  2. Step 2: Convert to fraction form
    1,589.64/2,384.42 = 435.40/x
  3. Step 3: Cross multiply
    1,589.64x = 2,384.42 × 435.40
  4. Step 4: Simplify right side
    1,589.64x = 1,038,176.47
  5. Step 5: Solve for x
    x = 1,038,176.47/1,589.64
  6. Step 6: Final answer
    x = 653.09

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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.