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Finding the Fourth Proportional to 1,066.25, 1,598.47 and 416.84

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Solution

The fourth proportional to 1,066.25, 1,598.47 and 416.84 is: 624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.25 : 1,598.47 = 416.84 : x
  2. Step 2: Convert to fraction form
    1,066.25/1,598.47 = 416.84/x
  3. Step 3: Cross multiply
    1,066.25x = 1,598.47 × 416.84
  4. Step 4: Simplify right side
    1,066.25x = 666,297.20
  5. Step 5: Solve for x
    x = 666,297.20/1,066.25
  6. Step 6: Final answer
    x = 624.90

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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.