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Finding the Fourth Proportional to 1,310.66, 1,809.59 and 912.21

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Solution

The fourth proportional to 1,310.66, 1,809.59 and 912.21 is: 1,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.66 : 1,809.59 = 912.21 : x
  2. Step 2: Convert to fraction form
    1,310.66/1,809.59 = 912.21/x
  3. Step 3: Cross multiply
    1,310.66x = 1,809.59 × 912.21
  4. Step 4: Simplify right side
    1,310.66x = 1,650,721.53
  5. Step 5: Solve for x
    x = 1,650,721.53/1,310.66
  6. Step 6: Final answer
    x = 1,259.46

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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.