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Finding the Fourth Proportional to 1,026.10, 1,538.70 and 295.51

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Solution

The fourth proportional to 1,026.10, 1,538.70 and 295.51 is: 443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.10 : 1,538.70 = 295.51 : x
  2. Step 2: Convert to fraction form
    1,026.10/1,538.70 = 295.51/x
  3. Step 3: Cross multiply
    1,026.10x = 1,538.70 × 295.51
  4. Step 4: Simplify right side
    1,026.10x = 454,699.72
  5. Step 5: Solve for x
    x = 454,699.72/1,026.10
  6. Step 6: Final answer
    x = 443.13

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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.