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Finding the Fourth Proportional to 1,133.11, 1,692.77 and 948.57

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Solution

The fourth proportional to 1,133.11, 1,692.77 and 948.57 is: 1,417.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.11 : 1,692.77 = 948.57 : x
  2. Step 2: Convert to fraction form
    1,133.11/1,692.77 = 948.57/x
  3. Step 3: Cross multiply
    1,133.11x = 1,692.77 × 948.57
  4. Step 4: Simplify right side
    1,133.11x = 1,605,710.84
  5. Step 5: Solve for x
    x = 1,605,710.84/1,133.11
  6. Step 6: Final answer
    x = 1,417.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.