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Finding the Fourth Proportional to 1,302.99, 1,798.36 and 1,259.74

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Solution

The fourth proportional to 1,302.99, 1,798.36 and 1,259.74 is: 1,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.99 : 1,798.36 = 1,259.74 : x
  2. Step 2: Convert to fraction form
    1,302.99/1,798.36 = 1,259.74/x
  3. Step 3: Cross multiply
    1,302.99x = 1,798.36 × 1,259.74
  4. Step 4: Simplify right side
    1,302.99x = 2,265,459.73
  5. Step 5: Solve for x
    x = 2,265,459.73/1,302.99
  6. Step 6: Final answer
    x = 1,738.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.