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Finding the Fourth Proportional to 1,046.81, 1,570.25 and 584.33

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Solution

The fourth proportional to 1,046.81, 1,570.25 and 584.33 is: 876.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.81 : 1,570.25 = 584.33 : x
  2. Step 2: Convert to fraction form
    1,046.81/1,570.25 = 584.33/x
  3. Step 3: Cross multiply
    1,046.81x = 1,570.25 × 584.33
  4. Step 4: Simplify right side
    1,046.81x = 917,541.26
  5. Step 5: Solve for x
    x = 917,541.26/1,046.81
  6. Step 6: Final answer
    x = 876.51

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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.