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Finding the Fourth Proportional to 1,570.19, 2,166.75 and 907.07

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Solution

The fourth proportional to 1,570.19, 2,166.75 and 907.07 is: 1,251.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.19 : 2,166.75 = 907.07 : x
  2. Step 2: Convert to fraction form
    1,570.19/2,166.75 = 907.07/x
  3. Step 3: Cross multiply
    1,570.19x = 2,166.75 × 907.07
  4. Step 4: Simplify right side
    1,570.19x = 1,965,383.09
  5. Step 5: Solve for x
    x = 1,965,383.09/1,570.19
  6. Step 6: Final answer
    x = 1,251.69

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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.