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Finding the Fourth Proportional to 1,051.03, 1,577.94 and 897.94

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Solution

The fourth proportional to 1,051.03, 1,577.94 and 897.94 is: 1,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.03 : 1,577.94 = 897.94 : x
  2. Step 2: Convert to fraction form
    1,051.03/1,577.94 = 897.94/x
  3. Step 3: Cross multiply
    1,051.03x = 1,577.94 × 897.94
  4. Step 4: Simplify right side
    1,051.03x = 1,416,895.44
  5. Step 5: Solve for x
    x = 1,416,895.44/1,051.03
  6. Step 6: Final answer
    x = 1,348.10

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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.