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Finding the Fourth Proportional to 1,070.80, 1,605.12 and 583.24

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Solution

The fourth proportional to 1,070.80, 1,605.12 and 583.24 is: 874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.80 : 1,605.12 = 583.24 : x
  2. Step 2: Convert to fraction form
    1,070.80/1,605.12 = 583.24/x
  3. Step 3: Cross multiply
    1,070.80x = 1,605.12 × 583.24
  4. Step 4: Simplify right side
    1,070.80x = 936,170.19
  5. Step 5: Solve for x
    x = 936,170.19/1,070.80
  6. Step 6: Final answer
    x = 874.27

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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.