Home / 1,323.21-1,824.17-924.30

Finding the Fourth Proportional to 1,323.21, 1,824.17 and 924.30

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Solution

The fourth proportional to 1,323.21, 1,824.17 and 924.30 is: 1,274.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.21 : 1,824.17 = 924.30 : x
  2. Step 2: Convert to fraction form
    1,323.21/1,824.17 = 924.30/x
  3. Step 3: Cross multiply
    1,323.21x = 1,824.17 × 924.30
  4. Step 4: Simplify right side
    1,323.21x = 1,686,075.71
  5. Step 5: Solve for x
    x = 1,686,075.71/1,323.21
  6. Step 6: Final answer
    x = 1,274.23

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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.