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Finding the Fourth Proportional to 1,706.58, 2,355.09 and 1,008.30

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Solution

The fourth proportional to 1,706.58, 2,355.09 and 1,008.30 is: 1,391.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.58 : 2,355.09 = 1,008.30 : x
  2. Step 2: Convert to fraction form
    1,706.58/2,355.09 = 1,008.30/x
  3. Step 3: Cross multiply
    1,706.58x = 2,355.09 × 1,008.30
  4. Step 4: Simplify right side
    1,706.58x = 2,374,637.25
  5. Step 5: Solve for x
    x = 2,374,637.25/1,706.58
  6. Step 6: Final answer
    x = 1,391.46

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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.