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Finding the Fourth Proportional to 1,024.13, 1,413.53 and 651.05

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Solution

The fourth proportional to 1,024.13, 1,413.53 and 651.05 is: 898.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.13 : 1,413.53 = 651.05 : x
  2. Step 2: Convert to fraction form
    1,024.13/1,413.53 = 651.05/x
  3. Step 3: Cross multiply
    1,024.13x = 1,413.53 × 651.05
  4. Step 4: Simplify right side
    1,024.13x = 920,268.38
  5. Step 5: Solve for x
    x = 920,268.38/1,024.13
  6. Step 6: Final answer
    x = 898.58

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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.