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Finding the Fourth Proportional to 1,051.71, 1,577.56 and 564.09

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Solution

The fourth proportional to 1,051.71, 1,577.56 and 564.09 is: 846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.71 : 1,577.56 = 564.09 : x
  2. Step 2: Convert to fraction form
    1,051.71/1,577.56 = 564.09/x
  3. Step 3: Cross multiply
    1,051.71x = 1,577.56 × 564.09
  4. Step 4: Simplify right side
    1,051.71x = 889,885.82
  5. Step 5: Solve for x
    x = 889,885.82/1,051.71
  6. Step 6: Final answer
    x = 846.13

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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.