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Finding the Fourth Proportional to 784.47, 1,082.59 and 435.16

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Solution

The fourth proportional to 784.47, 1,082.59 and 435.16 is: 600.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.47 : 1,082.59 = 435.16 : x
  2. Step 2: Convert to fraction form
    784.47/1,082.59 = 435.16/x
  3. Step 3: Cross multiply
    784.47x = 1,082.59 × 435.16
  4. Step 4: Simplify right side
    784.47x = 471,100.13
  5. Step 5: Solve for x
    x = 471,100.13/784.47
  6. Step 6: Final answer
    x = 600.53

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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.