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Finding the Fourth Proportional to 1,024.65, 1,413.18 and 692.48

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Solution

The fourth proportional to 1,024.65, 1,413.18 and 692.48 is: 955.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.65 : 1,413.18 = 692.48 : x
  2. Step 2: Convert to fraction form
    1,024.65/1,413.18 = 692.48/x
  3. Step 3: Cross multiply
    1,024.65x = 1,413.18 × 692.48
  4. Step 4: Simplify right side
    1,024.65x = 978,602.42
  5. Step 5: Solve for x
    x = 978,602.42/1,024.65
  6. Step 6: Final answer
    x = 955.06

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Why These Related Problems?

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