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Finding the Fourth Proportional to 818.84, 1,130.54 and 632.00

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Solution

The fourth proportional to 818.84, 1,130.54 and 632.00 is: 872.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.84 : 1,130.54 = 632.00 : x
  2. Step 2: Convert to fraction form
    818.84/1,130.54 = 632.00/x
  3. Step 3: Cross multiply
    818.84x = 1,130.54 × 632.00
  4. Step 4: Simplify right side
    818.84x = 714,500.95
  5. Step 5: Solve for x
    x = 714,500.95/818.84
  6. Step 6: Final answer
    x = 872.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.