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Finding the Fourth Proportional to 1,024.14, 1,413.88 and 688.53

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Solution

The fourth proportional to 1,024.14, 1,413.88 and 688.53 is: 950.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.14 : 1,413.88 = 688.53 : x
  2. Step 2: Convert to fraction form
    1,024.14/1,413.88 = 688.53/x
  3. Step 3: Cross multiply
    1,024.14x = 1,413.88 × 688.53
  4. Step 4: Simplify right side
    1,024.14x = 973,497.08
  5. Step 5: Solve for x
    x = 973,497.08/1,024.14
  6. Step 6: Final answer
    x = 950.55

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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.