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Finding the Fourth Proportional to 1,145.12, 1,717.40 and 364.96

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Solution

The fourth proportional to 1,145.12, 1,717.40 and 364.96 is: 547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.12 : 1,717.40 = 364.96 : x
  2. Step 2: Convert to fraction form
    1,145.12/1,717.40 = 364.96/x
  3. Step 3: Cross multiply
    1,145.12x = 1,717.40 × 364.96
  4. Step 4: Simplify right side
    1,145.12x = 626,782.30
  5. Step 5: Solve for x
    x = 626,782.30/1,145.12
  6. Step 6: Final answer
    x = 547.35

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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.