Home / 1,406.90-2,110.19-433.08

Finding the Fourth Proportional to 1,406.90, 2,110.19 and 433.08

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Solution

The fourth proportional to 1,406.90, 2,110.19 and 433.08 is: 649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.90 : 2,110.19 = 433.08 : x
  2. Step 2: Convert to fraction form
    1,406.90/2,110.19 = 433.08/x
  3. Step 3: Cross multiply
    1,406.90x = 2,110.19 × 433.08
  4. Step 4: Simplify right side
    1,406.90x = 913,870.53
  5. Step 5: Solve for x
    x = 913,870.53/1,406.90
  6. Step 6: Final answer
    x = 649.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.