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Finding the Fourth Proportional to 1,503.54, 2,074.92 and 831.35

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Solution

The fourth proportional to 1,503.54, 2,074.92 and 831.35 is: 1,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.54 : 2,074.92 = 831.35 : x
  2. Step 2: Convert to fraction form
    1,503.54/2,074.92 = 831.35/x
  3. Step 3: Cross multiply
    1,503.54x = 2,074.92 × 831.35
  4. Step 4: Simplify right side
    1,503.54x = 1,724,970.21
  5. Step 5: Solve for x
    x = 1,724,970.21/1,503.54
  6. Step 6: Final answer
    x = 1,147.27

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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.