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Finding the Fourth Proportional to 1,057.48, 1,584.66 and 942.14

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Solution

The fourth proportional to 1,057.48, 1,584.66 and 942.14 is: 1,411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.48 : 1,584.66 = 942.14 : x
  2. Step 2: Convert to fraction form
    1,057.48/1,584.66 = 942.14/x
  3. Step 3: Cross multiply
    1,057.48x = 1,584.66 × 942.14
  4. Step 4: Simplify right side
    1,057.48x = 1,492,971.57
  5. Step 5: Solve for x
    x = 1,492,971.57/1,057.48
  6. Step 6: Final answer
    x = 1,411.82

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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.