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Finding the Fourth Proportional to 1,235.90, 1,705.78 and 738.30

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Solution

The fourth proportional to 1,235.90, 1,705.78 and 738.30 is: 1,019.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.90 : 1,705.78 = 738.30 : x
  2. Step 2: Convert to fraction form
    1,235.90/1,705.78 = 738.30/x
  3. Step 3: Cross multiply
    1,235.90x = 1,705.78 × 738.30
  4. Step 4: Simplify right side
    1,235.90x = 1,259,377.37
  5. Step 5: Solve for x
    x = 1,259,377.37/1,235.90
  6. Step 6: Final answer
    x = 1,019.00

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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.