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Finding the Fourth Proportional to 929.98, 1,394.36 and 467.06

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Solution

The fourth proportional to 929.98, 1,394.36 and 467.06 is: 700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.98 : 1,394.36 = 467.06 : x
  2. Step 2: Convert to fraction form
    929.98/1,394.36 = 467.06/x
  3. Step 3: Cross multiply
    929.98x = 1,394.36 × 467.06
  4. Step 4: Simplify right side
    929.98x = 651,247.45
  5. Step 5: Solve for x
    x = 651,247.45/929.98
  6. Step 6: Final answer
    x = 700.28

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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.