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Finding the Fourth Proportional to 1,026, 1,415.98 and 606.48

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Solution

The fourth proportional to 1,026, 1,415.98 and 606.48 is: 837.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026 : 1,415.98 = 606.48 : x
  2. Step 2: Convert to fraction form
    1,026/1,415.98 = 606.48/x
  3. Step 3: Cross multiply
    1,026x = 1,415.98 × 606.48
  4. Step 4: Simplify right side
    1,026x = 858,763.55
  5. Step 5: Solve for x
    x = 858,763.55/1,026
  6. Step 6: Final answer
    x = 837.00

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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.