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Finding the Fourth Proportional to 1,602.90, 2,402.34 and 769.98

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Solution

The fourth proportional to 1,602.90, 2,402.34 and 769.98 is: 1,154.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.90 : 2,402.34 = 769.98 : x
  2. Step 2: Convert to fraction form
    1,602.90/2,402.34 = 769.98/x
  3. Step 3: Cross multiply
    1,602.90x = 2,402.34 × 769.98
  4. Step 4: Simplify right side
    1,602.90x = 1,849,753.75
  5. Step 5: Solve for x
    x = 1,849,753.75/1,602.90
  6. Step 6: Final answer
    x = 1,154.00

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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.