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Finding the Fourth Proportional to 1,413.80, 1,950.99 and 854.30

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Solution

The fourth proportional to 1,413.80, 1,950.99 and 854.30 is: 1,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.80 : 1,950.99 = 854.30 : x
  2. Step 2: Convert to fraction form
    1,413.80/1,950.99 = 854.30/x
  3. Step 3: Cross multiply
    1,413.80x = 1,950.99 × 854.30
  4. Step 4: Simplify right side
    1,413.80x = 1,666,721.46
  5. Step 5: Solve for x
    x = 1,666,721.46/1,413.80
  6. Step 6: Final answer
    x = 1,178.89

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1.5x scale

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.