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Finding the Fourth Proportional to 1,266.34, 1,898.01 and 957.16

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Solution

The fourth proportional to 1,266.34, 1,898.01 and 957.16 is: 1,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.34 : 1,898.01 = 957.16 : x
  2. Step 2: Convert to fraction form
    1,266.34/1,898.01 = 957.16/x
  3. Step 3: Cross multiply
    1,266.34x = 1,898.01 × 957.16
  4. Step 4: Simplify right side
    1,266.34x = 1,816,699.25
  5. Step 5: Solve for x
    x = 1,816,699.25/1,266.34
  6. Step 6: Final answer
    x = 1,434.61

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Why These Related Problems?

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