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Finding the Fourth Proportional to 1,323.02, 1,984.54 and 457.13

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Solution

The fourth proportional to 1,323.02, 1,984.54 and 457.13 is: 685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.02 : 1,984.54 = 457.13 : x
  2. Step 2: Convert to fraction form
    1,323.02/1,984.54 = 457.13/x
  3. Step 3: Cross multiply
    1,323.02x = 1,984.54 × 457.13
  4. Step 4: Simplify right side
    1,323.02x = 907,182.85
  5. Step 5: Solve for x
    x = 907,182.85/1,323.02
  6. Step 6: Final answer
    x = 685.69

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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.