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Finding the Fourth Proportional to 1,024.66, 1,413.93 and 693.01

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Solution

The fourth proportional to 1,024.66, 1,413.93 and 693.01 is: 956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.66 : 1,413.93 = 693.01 : x
  2. Step 2: Convert to fraction form
    1,024.66/1,413.93 = 693.01/x
  3. Step 3: Cross multiply
    1,024.66x = 1,413.93 × 693.01
  4. Step 4: Simplify right side
    1,024.66x = 979,867.63
  5. Step 5: Solve for x
    x = 979,867.63/1,024.66
  6. Step 6: Final answer
    x = 956.29

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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.