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Finding the Fourth Proportional to 1,164.51, 1,607.01 and 633.41

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Solution

The fourth proportional to 1,164.51, 1,607.01 and 633.41 is: 874.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.51 : 1,607.01 = 633.41 : x
  2. Step 2: Convert to fraction form
    1,164.51/1,607.01 = 633.41/x
  3. Step 3: Cross multiply
    1,164.51x = 1,607.01 × 633.41
  4. Step 4: Simplify right side
    1,164.51x = 1,017,888.17
  5. Step 5: Solve for x
    x = 1,017,888.17/1,164.51
  6. Step 6: Final answer
    x = 874.09

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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.