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Finding the Fourth Proportional to 1,070.83, 1,477.71 and 605.08

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Solution

The fourth proportional to 1,070.83, 1,477.71 and 605.08 is: 834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.83 : 1,477.71 = 605.08 : x
  2. Step 2: Convert to fraction form
    1,070.83/1,477.71 = 605.08/x
  3. Step 3: Cross multiply
    1,070.83x = 1,477.71 × 605.08
  4. Step 4: Simplify right side
    1,070.83x = 894,125.38
  5. Step 5: Solve for x
    x = 894,125.38/1,070.83
  6. Step 6: Final answer
    x = 834.99

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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.