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Finding the Fourth Proportional to 1,403.69, 1,937.08 and 774.22

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Solution

The fourth proportional to 1,403.69, 1,937.08 and 774.22 is: 1,068.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.69 : 1,937.08 = 774.22 : x
  2. Step 2: Convert to fraction form
    1,403.69/1,937.08 = 774.22/x
  3. Step 3: Cross multiply
    1,403.69x = 1,937.08 × 774.22
  4. Step 4: Simplify right side
    1,403.69x = 1,499,726.08
  5. Step 5: Solve for x
    x = 1,499,726.08/1,403.69
  6. Step 6: Final answer
    x = 1,068.42

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1.5x scale

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.