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Finding the Fourth Proportional to 1,203.35, 1,803.78 and 577.53

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Solution

The fourth proportional to 1,203.35, 1,803.78 and 577.53 is: 865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.35 : 1,803.78 = 577.53 : x
  2. Step 2: Convert to fraction form
    1,203.35/1,803.78 = 577.53/x
  3. Step 3: Cross multiply
    1,203.35x = 1,803.78 × 577.53
  4. Step 4: Simplify right side
    1,203.35x = 1,041,737.06
  5. Step 5: Solve for x
    x = 1,041,737.06/1,203.35
  6. Step 6: Final answer
    x = 865.70

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