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Finding the Fourth Proportional to 758.34, 1,137.06 and 341.70

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Solution

The fourth proportional to 758.34, 1,137.06 and 341.70 is: 512.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.34 : 1,137.06 = 341.70 : x
  2. Step 2: Convert to fraction form
    758.34/1,137.06 = 341.70/x
  3. Step 3: Cross multiply
    758.34x = 1,137.06 × 341.70
  4. Step 4: Simplify right side
    758.34x = 388,533.40
  5. Step 5: Solve for x
    x = 388,533.40/758.34
  6. Step 6: Final answer
    x = 512.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.