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Finding the Fourth Proportional to 1,290.16, 1,934.99 and 365.49

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Solution

The fourth proportional to 1,290.16, 1,934.99 and 365.49 is: 548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.16 : 1,934.99 = 365.49 : x
  2. Step 2: Convert to fraction form
    1,290.16/1,934.99 = 365.49/x
  3. Step 3: Cross multiply
    1,290.16x = 1,934.99 × 365.49
  4. Step 4: Simplify right side
    1,290.16x = 707,219.50
  5. Step 5: Solve for x
    x = 707,219.50/1,290.16
  6. Step 6: Final answer
    x = 548.17

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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.