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Finding the Fourth Proportional to 1,038.51, 1,430.64 and 872.73

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Solution

The fourth proportional to 1,038.51, 1,430.64 and 872.73 is: 1,202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.51 : 1,430.64 = 872.73 : x
  2. Step 2: Convert to fraction form
    1,038.51/1,430.64 = 872.73/x
  3. Step 3: Cross multiply
    1,038.51x = 1,430.64 × 872.73
  4. Step 4: Simplify right side
    1,038.51x = 1,248,562.45
  5. Step 5: Solve for x
    x = 1,248,562.45/1,038.51
  6. Step 6: Final answer
    x = 1,202.26

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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.