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Finding the Fourth Proportional to 1,378.34, 2,068.54 and 859.10

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Solution

The fourth proportional to 1,378.34, 2,068.54 and 859.10 is: 1,289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.34 : 2,068.54 = 859.10 : x
  2. Step 2: Convert to fraction form
    1,378.34/2,068.54 = 859.10/x
  3. Step 3: Cross multiply
    1,378.34x = 2,068.54 × 859.10
  4. Step 4: Simplify right side
    1,378.34x = 1,777,082.71
  5. Step 5: Solve for x
    x = 1,777,082.71/1,378.34
  6. Step 6: Final answer
    x = 1,289.29

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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.