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Finding the Fourth Proportional to 1,264.61, 1,897.05 and 1,098.77

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Solution

The fourth proportional to 1,264.61, 1,897.05 and 1,098.77 is: 1,648.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.61 : 1,897.05 = 1,098.77 : x
  2. Step 2: Convert to fraction form
    1,264.61/1,897.05 = 1,098.77/x
  3. Step 3: Cross multiply
    1,264.61x = 1,897.05 × 1,098.77
  4. Step 4: Simplify right side
    1,264.61x = 2,084,421.63
  5. Step 5: Solve for x
    x = 2,084,421.63/1,264.61
  6. Step 6: Final answer
    x = 1,648.27

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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.