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Finding the Fourth Proportional to 1,165.12, 1,746.90 and 384.86

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Solution

The fourth proportional to 1,165.12, 1,746.90 and 384.86 is: 577.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.12 : 1,746.90 = 384.86 : x
  2. Step 2: Convert to fraction form
    1,165.12/1,746.90 = 384.86/x
  3. Step 3: Cross multiply
    1,165.12x = 1,746.90 × 384.86
  4. Step 4: Simplify right side
    1,165.12x = 672,311.93
  5. Step 5: Solve for x
    x = 672,311.93/1,165.12
  6. Step 6: Final answer
    x = 577.03

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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.