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Finding the Fourth Proportional to 803.94, 1,108.80 and 509.40

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Solution

The fourth proportional to 803.94, 1,108.80 and 509.40 is: 702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.94 : 1,108.80 = 509.40 : x
  2. Step 2: Convert to fraction form
    803.94/1,108.80 = 509.40/x
  3. Step 3: Cross multiply
    803.94x = 1,108.80 × 509.40
  4. Step 4: Simplify right side
    803.94x = 564,822.72
  5. Step 5: Solve for x
    x = 564,822.72/803.94
  6. Step 6: Final answer
    x = 702.57

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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.