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Finding the Fourth Proportional to 1,038.42, 1,413.72 and 1,021.14

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Solution

The fourth proportional to 1,038.42, 1,413.72 and 1,021.14 is: 1,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.42 : 1,413.72 = 1,021.14 : x
  2. Step 2: Convert to fraction form
    1,038.42/1,413.72 = 1,021.14/x
  3. Step 3: Cross multiply
    1,038.42x = 1,413.72 × 1,021.14
  4. Step 4: Simplify right side
    1,038.42x = 1,443,606.04
  5. Step 5: Solve for x
    x = 1,443,606.04/1,038.42
  6. Step 6: Final answer
    x = 1,390.19

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.