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Finding the Fourth Proportional to 1,064.21, 1,598.82 and 626.58

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Solution

The fourth proportional to 1,064.21, 1,598.82 and 626.58 is: 941.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.21 : 1,598.82 = 626.58 : x
  2. Step 2: Convert to fraction form
    1,064.21/1,598.82 = 626.58/x
  3. Step 3: Cross multiply
    1,064.21x = 1,598.82 × 626.58
  4. Step 4: Simplify right side
    1,064.21x = 1,001,786.29
  5. Step 5: Solve for x
    x = 1,001,786.29/1,064.21
  6. Step 6: Final answer
    x = 941.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.