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Finding the Fourth Proportional to 1,145.70, 1,719.56 and 561.01

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Solution

The fourth proportional to 1,145.70, 1,719.56 and 561.01 is: 842.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.70 : 1,719.56 = 561.01 : x
  2. Step 2: Convert to fraction form
    1,145.70/1,719.56 = 561.01/x
  3. Step 3: Cross multiply
    1,145.70x = 1,719.56 × 561.01
  4. Step 4: Simplify right side
    1,145.70x = 964,690.36
  5. Step 5: Solve for x
    x = 964,690.36/1,145.70
  6. Step 6: Final answer
    x = 842.01

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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.