Home / 1,404.16-2,106.54-430.23

Finding the Fourth Proportional to 1,404.16, 2,106.54 and 430.23

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Solution

The fourth proportional to 1,404.16, 2,106.54 and 430.23 is: 645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.16 : 2,106.54 = 430.23 : x
  2. Step 2: Convert to fraction form
    1,404.16/2,106.54 = 430.23/x
  3. Step 3: Cross multiply
    1,404.16x = 2,106.54 × 430.23
  4. Step 4: Simplify right side
    1,404.16x = 906,304.60
  5. Step 5: Solve for x
    x = 906,304.60/1,404.16
  6. Step 6: Final answer
    x = 645.44

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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.