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Finding the Fourth Proportional to 1,290.03, 1,780.27 and 758.95

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Solution

The fourth proportional to 1,290.03, 1,780.27 and 758.95 is: 1,047.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.03 : 1,780.27 = 758.95 : x
  2. Step 2: Convert to fraction form
    1,290.03/1,780.27 = 758.95/x
  3. Step 3: Cross multiply
    1,290.03x = 1,780.27 × 758.95
  4. Step 4: Simplify right side
    1,290.03x = 1,351,127.02
  5. Step 5: Solve for x
    x = 1,351,127.02/1,290.03
  6. Step 6: Final answer
    x = 1,047.36

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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.