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Finding the Fourth Proportional to 1,142.70, 1,715.06 and 558.01

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Solution

The fourth proportional to 1,142.70, 1,715.06 and 558.01 is: 837.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.70 : 1,715.06 = 558.01 : x
  2. Step 2: Convert to fraction form
    1,142.70/1,715.06 = 558.01/x
  3. Step 3: Cross multiply
    1,142.70x = 1,715.06 × 558.01
  4. Step 4: Simplify right side
    1,142.70x = 957,020.63
  5. Step 5: Solve for x
    x = 957,020.63/1,142.70
  6. Step 6: Final answer
    x = 837.51

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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.