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Finding the Fourth Proportional to 1,070.13, 1,605.47 and 300.63

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Solution

The fourth proportional to 1,070.13, 1,605.47 and 300.63 is: 451.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.13 : 1,605.47 = 300.63 : x
  2. Step 2: Convert to fraction form
    1,070.13/1,605.47 = 300.63/x
  3. Step 3: Cross multiply
    1,070.13x = 1,605.47 × 300.63
  4. Step 4: Simplify right side
    1,070.13x = 482,652.45
  5. Step 5: Solve for x
    x = 482,652.45/1,070.13
  6. Step 6: Final answer
    x = 451.02

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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.