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Finding the Fourth Proportional to 1,237.71, 1,856.57 and 313.26

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Solution

The fourth proportional to 1,237.71, 1,856.57 and 313.26 is: 469.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.71 : 1,856.57 = 313.26 : x
  2. Step 2: Convert to fraction form
    1,237.71/1,856.57 = 313.26/x
  3. Step 3: Cross multiply
    1,237.71x = 1,856.57 × 313.26
  4. Step 4: Simplify right side
    1,237.71x = 581,587.55
  5. Step 5: Solve for x
    x = 581,587.55/1,237.71
  6. Step 6: Final answer
    x = 469.89

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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.