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Finding the Fourth Proportional to 1,064.25, 1,597.10 and 380.25

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Solution

The fourth proportional to 1,064.25, 1,597.10 and 380.25 is: 570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.25 : 1,597.10 = 380.25 : x
  2. Step 2: Convert to fraction form
    1,064.25/1,597.10 = 380.25/x
  3. Step 3: Cross multiply
    1,064.25x = 1,597.10 × 380.25
  4. Step 4: Simplify right side
    1,064.25x = 607,295.37
  5. Step 5: Solve for x
    x = 607,295.37/1,064.25
  6. Step 6: Final answer
    x = 570.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.