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Finding the Fourth Proportional to 1,064.07, 1,467.45 and 621.81

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Solution

The fourth proportional to 1,064.07, 1,467.45 and 621.81 is: 857.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.07 : 1,467.45 = 621.81 : x
  2. Step 2: Convert to fraction form
    1,064.07/1,467.45 = 621.81/x
  3. Step 3: Cross multiply
    1,064.07x = 1,467.45 × 621.81
  4. Step 4: Simplify right side
    1,064.07x = 912,475.08
  5. Step 5: Solve for x
    x = 912,475.08/1,064.07
  6. Step 6: Final answer
    x = 857.53

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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.