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Finding the Fourth Proportional to 803.79, 1,109.03 and 509.40

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Solution

The fourth proportional to 803.79, 1,109.03 and 509.40 is: 702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.79 : 1,109.03 = 509.40 : x
  2. Step 2: Convert to fraction form
    803.79/1,109.03 = 509.40/x
  3. Step 3: Cross multiply
    803.79x = 1,109.03 × 509.40
  4. Step 4: Simplify right side
    803.79x = 564,937.34
  5. Step 5: Solve for x
    x = 564,937.34/803.79
  6. Step 6: Final answer
    x = 702.84

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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.