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Finding the Fourth Proportional to 1,026.01, 1,537.98 and 376.21

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Solution

The fourth proportional to 1,026.01, 1,537.98 and 376.21 is: 563.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.01 : 1,537.98 = 376.21 : x
  2. Step 2: Convert to fraction form
    1,026.01/1,537.98 = 376.21/x
  3. Step 3: Cross multiply
    1,026.01x = 1,537.98 × 376.21
  4. Step 4: Simplify right side
    1,026.01x = 578,603.46
  5. Step 5: Solve for x
    x = 578,603.46/1,026.01
  6. Step 6: Final answer
    x = 563.94

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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.