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Finding the Fourth Proportional to 803.06, 1,106.70 and 569.78

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Solution

The fourth proportional to 803.06, 1,106.70 and 569.78 is: 785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.06 : 1,106.70 = 569.78 : x
  2. Step 2: Convert to fraction form
    803.06/1,106.70 = 569.78/x
  3. Step 3: Cross multiply
    803.06x = 1,106.70 × 569.78
  4. Step 4: Simplify right side
    803.06x = 630,575.53
  5. Step 5: Solve for x
    x = 630,575.53/803.06
  6. Step 6: Final answer
    x = 785.22

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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.