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Finding the Fourth Proportional to 1,503.06, 2,074.20 and 839.98

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Solution

The fourth proportional to 1,503.06, 2,074.20 and 839.98 is: 1,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.06 : 2,074.20 = 839.98 : x
  2. Step 2: Convert to fraction form
    1,503.06/2,074.20 = 839.98/x
  3. Step 3: Cross multiply
    1,503.06x = 2,074.20 × 839.98
  4. Step 4: Simplify right side
    1,503.06x = 1,742,276.15
  5. Step 5: Solve for x
    x = 1,742,276.15/1,503.06
  6. Step 6: Final answer
    x = 1,159.16

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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.