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Finding the Fourth Proportional to 803.88, 1,109.64 and 509.16

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Solution

The fourth proportional to 803.88, 1,109.64 and 509.16 is: 702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.88 : 1,109.64 = 509.16 : x
  2. Step 2: Convert to fraction form
    803.88/1,109.64 = 509.16/x
  3. Step 3: Cross multiply
    803.88x = 1,109.64 × 509.16
  4. Step 4: Simplify right side
    803.88x = 564,984.30
  5. Step 5: Solve for x
    x = 564,984.30/803.88
  6. Step 6: Final answer
    x = 702.82

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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.