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Finding the Fourth Proportional to 1,065.82, 1,598.97 and 416.74

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Solution

The fourth proportional to 1,065.82, 1,598.97 and 416.74 is: 625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.82 : 1,598.97 = 416.74 : x
  2. Step 2: Convert to fraction form
    1,065.82/1,598.97 = 416.74/x
  3. Step 3: Cross multiply
    1,065.82x = 1,598.97 × 416.74
  4. Step 4: Simplify right side
    1,065.82x = 666,354.76
  5. Step 5: Solve for x
    x = 666,354.76/1,065.82
  6. Step 6: Final answer
    x = 625.20

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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.