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Finding the Fourth Proportional to 1,128.04, 1,692.03 and 460.99

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Solution

The fourth proportional to 1,128.04, 1,692.03 and 460.99 is: 691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.04 : 1,692.03 = 460.99 : x
  2. Step 2: Convert to fraction form
    1,128.04/1,692.03 = 460.99/x
  3. Step 3: Cross multiply
    1,128.04x = 1,692.03 × 460.99
  4. Step 4: Simplify right side
    1,128.04x = 780,008.91
  5. Step 5: Solve for x
    x = 780,008.91/1,128.04
  6. Step 6: Final answer
    x = 691.47

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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.