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Finding the Fourth Proportional to 1,024.42, 1,413.15 and 877.42

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Solution

The fourth proportional to 1,024.42, 1,413.15 and 877.42 is: 1,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.42 : 1,413.15 = 877.42 : x
  2. Step 2: Convert to fraction form
    1,024.42/1,413.15 = 877.42/x
  3. Step 3: Cross multiply
    1,024.42x = 1,413.15 × 877.42
  4. Step 4: Simplify right side
    1,024.42x = 1,239,926.07
  5. Step 5: Solve for x
    x = 1,239,926.07/1,024.42
  6. Step 6: Final answer
    x = 1,210.37

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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.