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Finding the Fourth Proportional to 1,562.90, 2,344.55 and 589.28

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Solution

The fourth proportional to 1,562.90, 2,344.55 and 589.28 is: 883.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.90 : 2,344.55 = 589.28 : x
  2. Step 2: Convert to fraction form
    1,562.90/2,344.55 = 589.28/x
  3. Step 3: Cross multiply
    1,562.90x = 2,344.55 × 589.28
  4. Step 4: Simplify right side
    1,562.90x = 1,381,581.75
  5. Step 5: Solve for x
    x = 1,381,581.75/1,562.90
  6. Step 6: Final answer
    x = 883.99

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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.