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Finding the Fourth Proportional to 1,302.57, 1,953.09 and 571.34

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Solution

The fourth proportional to 1,302.57, 1,953.09 and 571.34 is: 856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.57 : 1,953.09 = 571.34 : x
  2. Step 2: Convert to fraction form
    1,302.57/1,953.09 = 571.34/x
  3. Step 3: Cross multiply
    1,302.57x = 1,953.09 × 571.34
  4. Step 4: Simplify right side
    1,302.57x = 1,115,883.32
  5. Step 5: Solve for x
    x = 1,115,883.32/1,302.57
  6. Step 6: Final answer
    x = 856.68

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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.