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Finding the Fourth Proportional to 929.15, 1,390.64 and 512.04

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Solution

The fourth proportional to 929.15, 1,390.64 and 512.04 is: 766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.15 : 1,390.64 = 512.04 : x
  2. Step 2: Convert to fraction form
    929.15/1,390.64 = 512.04/x
  3. Step 3: Cross multiply
    929.15x = 1,390.64 × 512.04
  4. Step 4: Simplify right side
    929.15x = 712,056.35
  5. Step 5: Solve for x
    x = 712,056.35/929.15
  6. Step 6: Final answer
    x = 766.36

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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.