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Finding the Fourth Proportional to 1,868.46, 2,803.00 and 569.63

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Solution

The fourth proportional to 1,868.46, 2,803.00 and 569.63 is: 854.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.46 : 2,803.00 = 569.63 : x
  2. Step 2: Convert to fraction form
    1,868.46/2,803.00 = 569.63/x
  3. Step 3: Cross multiply
    1,868.46x = 2,803.00 × 569.63
  4. Step 4: Simplify right side
    1,868.46x = 1,596,657.45
  5. Step 5: Solve for x
    x = 1,596,657.45/1,868.46
  6. Step 6: Final answer
    x = 854.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.