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Finding the Fourth Proportional to 1,237.52, 1,856.28 and 506.93

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Solution

The fourth proportional to 1,237.52, 1,856.28 and 506.93 is: 760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.52 : 1,856.28 = 506.93 : x
  2. Step 2: Convert to fraction form
    1,237.52/1,856.28 = 506.93/x
  3. Step 3: Cross multiply
    1,237.52x = 1,856.28 × 506.93
  4. Step 4: Simplify right side
    1,237.52x = 941,004.02
  5. Step 5: Solve for x
    x = 941,004.02/1,237.52
  6. Step 6: Final answer
    x = 760.40

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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.