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Finding the Fourth Proportional to 1,017.50, 1,404.63 and 741.98

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Solution

The fourth proportional to 1,017.50, 1,404.63 and 741.98 is: 1,024.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.50 : 1,404.63 = 741.98 : x
  2. Step 2: Convert to fraction form
    1,017.50/1,404.63 = 741.98/x
  3. Step 3: Cross multiply
    1,017.50x = 1,404.63 × 741.98
  4. Step 4: Simplify right side
    1,017.50x = 1,042,207.37
  5. Step 5: Solve for x
    x = 1,042,207.37/1,017.50
  6. Step 6: Final answer
    x = 1,024.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.