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Finding the Fourth Proportional to 1,070.04, 1,604.44 and 521.53

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Solution

The fourth proportional to 1,070.04, 1,604.44 and 521.53 is: 781.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.04 : 1,604.44 = 521.53 : x
  2. Step 2: Convert to fraction form
    1,070.04/1,604.44 = 521.53/x
  3. Step 3: Cross multiply
    1,070.04x = 1,604.44 × 521.53
  4. Step 4: Simplify right side
    1,070.04x = 836,763.59
  5. Step 5: Solve for x
    x = 836,763.59/1,070.04
  6. Step 6: Final answer
    x = 781.99

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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.