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Finding the Fourth Proportional to 1,057.80, 1,584.68 and 594.17

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Solution

The fourth proportional to 1,057.80, 1,584.68 and 594.17 is: 890.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.80 : 1,584.68 = 594.17 : x
  2. Step 2: Convert to fraction form
    1,057.80/1,584.68 = 594.17/x
  3. Step 3: Cross multiply
    1,057.80x = 1,584.68 × 594.17
  4. Step 4: Simplify right side
    1,057.80x = 941,574.76
  5. Step 5: Solve for x
    x = 941,574.76/1,057.80
  6. Step 6: Final answer
    x = 890.13

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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.