Home / 1,074.12-1,482.40-602.14

Finding the Fourth Proportional to 1,074.12, 1,482.40 and 602.14

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Solution

The fourth proportional to 1,074.12, 1,482.40 and 602.14 is: 831.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.12 : 1,482.40 = 602.14 : x
  2. Step 2: Convert to fraction form
    1,074.12/1,482.40 = 602.14/x
  3. Step 3: Cross multiply
    1,074.12x = 1,482.40 × 602.14
  4. Step 4: Simplify right side
    1,074.12x = 892,608.78
  5. Step 5: Solve for x
    x = 892,608.78/1,074.12
  6. Step 6: Final answer
    x = 831.02

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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.