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Finding the Fourth Proportional to 1,145.49, 1,715.82 and 950.01

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Solution

The fourth proportional to 1,145.49, 1,715.82 and 950.01 is: 1,423.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.49 : 1,715.82 = 950.01 : x
  2. Step 2: Convert to fraction form
    1,145.49/1,715.82 = 950.01/x
  3. Step 3: Cross multiply
    1,145.49x = 1,715.82 × 950.01
  4. Step 4: Simplify right side
    1,145.49x = 1,630,046.16
  5. Step 5: Solve for x
    x = 1,630,046.16/1,145.49
  6. Step 6: Final answer
    x = 1,423.01

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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.