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Finding the Fourth Proportional to 1,133.98, 1,708.69 and 933.04

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Solution

The fourth proportional to 1,133.98, 1,708.69 and 933.04 is: 1,405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.98 : 1,708.69 = 933.04 : x
  2. Step 2: Convert to fraction form
    1,133.98/1,708.69 = 933.04/x
  3. Step 3: Cross multiply
    1,133.98x = 1,708.69 × 933.04
  4. Step 4: Simplify right side
    1,133.98x = 1,594,276.12
  5. Step 5: Solve for x
    x = 1,594,276.12/1,133.98
  6. Step 6: Final answer
    x = 1,405.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.