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Finding the Fourth Proportional to 1,133.42, 1,700.31 and 556.34

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Solution

The fourth proportional to 1,133.42, 1,700.31 and 556.34 is: 834.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.42 : 1,700.31 = 556.34 : x
  2. Step 2: Convert to fraction form
    1,133.42/1,700.31 = 556.34/x
  3. Step 3: Cross multiply
    1,133.42x = 1,700.31 × 556.34
  4. Step 4: Simplify right side
    1,133.42x = 945,950.47
  5. Step 5: Solve for x
    x = 945,950.47/1,133.42
  6. Step 6: Final answer
    x = 834.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.