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Finding the Fourth Proportional to 1,733.02, 2,600.52 and 637.24

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Solution

The fourth proportional to 1,733.02, 2,600.52 and 637.24 is: 956.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.02 : 2,600.52 = 637.24 : x
  2. Step 2: Convert to fraction form
    1,733.02/2,600.52 = 637.24/x
  3. Step 3: Cross multiply
    1,733.02x = 2,600.52 × 637.24
  4. Step 4: Simplify right side
    1,733.02x = 1,657,155.36
  5. Step 5: Solve for x
    x = 1,657,155.36/1,733.02
  6. Step 6: Final answer
    x = 956.22

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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.