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Finding the Fourth Proportional to 1,070.80, 1,477.72 and 605.08

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Solution

The fourth proportional to 1,070.80, 1,477.72 and 605.08 is: 835.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.80 : 1,477.72 = 605.08 : x
  2. Step 2: Convert to fraction form
    1,070.80/1,477.72 = 605.08/x
  3. Step 3: Cross multiply
    1,070.80x = 1,477.72 × 605.08
  4. Step 4: Simplify right side
    1,070.80x = 894,138.82
  5. Step 5: Solve for x
    x = 894,138.82/1,070.80
  6. Step 6: Final answer
    x = 835.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.