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Finding the Fourth Proportional to 1,237.81, 1,856.71 and 497.75

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Solution

The fourth proportional to 1,237.81, 1,856.71 and 497.75 is: 746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.81 : 1,856.71 = 497.75 : x
  2. Step 2: Convert to fraction form
    1,237.81/1,856.71 = 497.75/x
  3. Step 3: Cross multiply
    1,237.81x = 1,856.71 × 497.75
  4. Step 4: Simplify right side
    1,237.81x = 924,185.81
  5. Step 5: Solve for x
    x = 924,185.81/1,237.81
  6. Step 6: Final answer
    x = 746.63

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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.