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Finding the Fourth Proportional to 1,026.09, 1,537.08 and 477.51

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Solution

The fourth proportional to 1,026.09, 1,537.08 and 477.51 is: 715.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.09 : 1,537.08 = 477.51 : x
  2. Step 2: Convert to fraction form
    1,026.09/1,537.08 = 477.51/x
  3. Step 3: Cross multiply
    1,026.09x = 1,537.08 × 477.51
  4. Step 4: Simplify right side
    1,026.09x = 733,971.07
  5. Step 5: Solve for x
    x = 733,971.07/1,026.09
  6. Step 6: Final answer
    x = 715.31

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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.