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Finding the Fourth Proportional to 1,164.71, 1,607.33 and 692.66

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Solution

The fourth proportional to 1,164.71, 1,607.33 and 692.66 is: 955.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.71 : 1,607.33 = 692.66 : x
  2. Step 2: Convert to fraction form
    1,164.71/1,607.33 = 692.66/x
  3. Step 3: Cross multiply
    1,164.71x = 1,607.33 × 692.66
  4. Step 4: Simplify right side
    1,164.71x = 1,113,333.20
  5. Step 5: Solve for x
    x = 1,113,333.20/1,164.71
  6. Step 6: Final answer
    x = 955.89

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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.