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Finding the Fourth Proportional to 784.02, 1,176.03 and 459.01

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Solution

The fourth proportional to 784.02, 1,176.03 and 459.01 is: 688.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.02 : 1,176.03 = 459.01 : x
  2. Step 2: Convert to fraction form
    784.02/1,176.03 = 459.01/x
  3. Step 3: Cross multiply
    784.02x = 1,176.03 × 459.01
  4. Step 4: Simplify right side
    784.02x = 539,806.59
  5. Step 5: Solve for x
    x = 539,806.59/784.02
  6. Step 6: Final answer
    x = 688.51

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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.