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Finding the Fourth Proportional to 1,290.10, 1,780.24 and 730.63

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Solution

The fourth proportional to 1,290.10, 1,780.24 and 730.63 is: 1,008.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.10 : 1,780.24 = 730.63 : x
  2. Step 2: Convert to fraction form
    1,290.10/1,780.24 = 730.63/x
  3. Step 3: Cross multiply
    1,290.10x = 1,780.24 × 730.63
  4. Step 4: Simplify right side
    1,290.10x = 1,300,703.03
  5. Step 5: Solve for x
    x = 1,300,703.03/1,290.10
  6. Step 6: Final answer
    x = 1,008.22

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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.