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Finding the Fourth Proportional to 1,413.07, 1,949.74 and 915.64

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Solution

The fourth proportional to 1,413.07, 1,949.74 and 915.64 is: 1,263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.07 : 1,949.74 = 915.64 : x
  2. Step 2: Convert to fraction form
    1,413.07/1,949.74 = 915.64/x
  3. Step 3: Cross multiply
    1,413.07x = 1,949.74 × 915.64
  4. Step 4: Simplify right side
    1,413.07x = 1,785,259.93
  5. Step 5: Solve for x
    x = 1,785,259.93/1,413.07
  6. Step 6: Final answer
    x = 1,263.39

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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.