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Finding the Fourth Proportional to 1,045.41, 1,569.06 and 582.51

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Solution

The fourth proportional to 1,045.41, 1,569.06 and 582.51 is: 874.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.41 : 1,569.06 = 582.51 : x
  2. Step 2: Convert to fraction form
    1,045.41/1,569.06 = 582.51/x
  3. Step 3: Cross multiply
    1,045.41x = 1,569.06 × 582.51
  4. Step 4: Simplify right side
    1,045.41x = 913,993.14
  5. Step 5: Solve for x
    x = 913,993.14/1,045.41
  6. Step 6: Final answer
    x = 874.29

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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.