Home / 1,323.02-1,984.32-457.13

Finding the Fourth Proportional to 1,323.02, 1,984.32 and 457.13

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Solution

The fourth proportional to 1,323.02, 1,984.32 and 457.13 is: 685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.02 : 1,984.32 = 457.13 : x
  2. Step 2: Convert to fraction form
    1,323.02/1,984.32 = 457.13/x
  3. Step 3: Cross multiply
    1,323.02x = 1,984.32 × 457.13
  4. Step 4: Simplify right side
    1,323.02x = 907,082.28
  5. Step 5: Solve for x
    x = 907,082.28/1,323.02
  6. Step 6: Final answer
    x = 685.62

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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.