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Finding the Fourth Proportional to 1,064.01, 1,467.93 and 784.91

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Solution

The fourth proportional to 1,064.01, 1,467.93 and 784.91 is: 1,082.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.01 : 1,467.93 = 784.91 : x
  2. Step 2: Convert to fraction form
    1,064.01/1,467.93 = 784.91/x
  3. Step 3: Cross multiply
    1,064.01x = 1,467.93 × 784.91
  4. Step 4: Simplify right side
    1,064.01x = 1,152,181.67
  5. Step 5: Solve for x
    x = 1,152,181.67/1,064.01
  6. Step 6: Final answer
    x = 1,082.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.