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Finding the Fourth Proportional to 1,237.74, 1,856.64 and 507.54

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Solution

The fourth proportional to 1,237.74, 1,856.64 and 507.54 is: 761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.74 : 1,856.64 = 507.54 : x
  2. Step 2: Convert to fraction form
    1,237.74/1,856.64 = 507.54/x
  3. Step 3: Cross multiply
    1,237.74x = 1,856.64 × 507.54
  4. Step 4: Simplify right side
    1,237.74x = 942,319.07
  5. Step 5: Solve for x
    x = 942,319.07/1,237.74
  6. Step 6: Final answer
    x = 761.32

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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.