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Finding the Fourth Proportional to 1,390.34, 2,085.33 and 364.34

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Solution

The fourth proportional to 1,390.34, 2,085.33 and 364.34 is: 546.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.34 : 2,085.33 = 364.34 : x
  2. Step 2: Convert to fraction form
    1,390.34/2,085.33 = 364.34/x
  3. Step 3: Cross multiply
    1,390.34x = 2,085.33 × 364.34
  4. Step 4: Simplify right side
    1,390.34x = 759,769.13
  5. Step 5: Solve for x
    x = 759,769.13/1,390.34
  6. Step 6: Final answer
    x = 546.46

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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.