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Finding the Fourth Proportional to 1,237.95, 1,856.91 and 416.16

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Solution

The fourth proportional to 1,237.95, 1,856.91 and 416.16 is: 624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.95 : 1,856.91 = 416.16 : x
  2. Step 2: Convert to fraction form
    1,237.95/1,856.91 = 416.16/x
  3. Step 3: Cross multiply
    1,237.95x = 1,856.91 × 416.16
  4. Step 4: Simplify right side
    1,237.95x = 772,771.67
  5. Step 5: Solve for x
    x = 772,771.67/1,237.95
  6. Step 6: Final answer
    x = 624.23

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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.