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Finding the Fourth Proportional to 1,146.05, 1,717.83 and 561.46

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Solution

The fourth proportional to 1,146.05, 1,717.83 and 561.46 is: 841.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.05 : 1,717.83 = 561.46 : x
  2. Step 2: Convert to fraction form
    1,146.05/1,717.83 = 561.46/x
  3. Step 3: Cross multiply
    1,146.05x = 1,717.83 × 561.46
  4. Step 4: Simplify right side
    1,146.05x = 964,488.51
  5. Step 5: Solve for x
    x = 964,488.51/1,146.05
  6. Step 6: Final answer
    x = 841.58

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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.