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Finding the Fourth Proportional to 1,496.03, 2,065.64 and 907.37

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Solution

The fourth proportional to 1,496.03, 2,065.64 and 907.37 is: 1,252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.03 : 2,065.64 = 907.37 : x
  2. Step 2: Convert to fraction form
    1,496.03/2,065.64 = 907.37/x
  3. Step 3: Cross multiply
    1,496.03x = 2,065.64 × 907.37
  4. Step 4: Simplify right side
    1,496.03x = 1,874,284.90
  5. Step 5: Solve for x
    x = 1,874,284.90/1,496.03
  6. Step 6: Final answer
    x = 1,252.84

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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.