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Finding the Fourth Proportional to 1,291.80, 1,780.08 and 937.08

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Solution

The fourth proportional to 1,291.80, 1,780.08 and 937.08 is: 1,291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.80 : 1,780.08 = 937.08 : x
  2. Step 2: Convert to fraction form
    1,291.80/1,780.08 = 937.08/x
  3. Step 3: Cross multiply
    1,291.80x = 1,780.08 × 937.08
  4. Step 4: Simplify right side
    1,291.80x = 1,668,077.37
  5. Step 5: Solve for x
    x = 1,668,077.37/1,291.80
  6. Step 6: Final answer
    x = 1,291.28

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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.