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Finding the Fourth Proportional to 784.10, 1,175.93 and 264.11

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Solution

The fourth proportional to 784.10, 1,175.93 and 264.11 is: 396.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.10 : 1,175.93 = 264.11 : x
  2. Step 2: Convert to fraction form
    784.10/1,175.93 = 264.11/x
  3. Step 3: Cross multiply
    784.10x = 1,175.93 × 264.11
  4. Step 4: Simplify right side
    784.10x = 310,567.67
  5. Step 5: Solve for x
    x = 310,567.67/784.10
  6. Step 6: Final answer
    x = 396.08

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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.