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Finding the Fourth Proportional to 1,497.27, 2,065.26 and 907.19

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Solution

The fourth proportional to 1,497.27, 2,065.26 and 907.19 is: 1,251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.27 : 2,065.26 = 907.19 : x
  2. Step 2: Convert to fraction form
    1,497.27/2,065.26 = 907.19/x
  3. Step 3: Cross multiply
    1,497.27x = 2,065.26 × 907.19
  4. Step 4: Simplify right side
    1,497.27x = 1,873,583.22
  5. Step 5: Solve for x
    x = 1,873,583.22/1,497.27
  6. Step 6: Final answer
    x = 1,251.33

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Double scale
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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.