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Finding the Fourth Proportional to 818.10, 1,129.76 and 570.10

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Solution

The fourth proportional to 818.10, 1,129.76 and 570.10 is: 787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.10 : 1,129.76 = 570.10 : x
  2. Step 2: Convert to fraction form
    818.10/1,129.76 = 570.10/x
  3. Step 3: Cross multiply
    818.10x = 1,129.76 × 570.10
  4. Step 4: Simplify right side
    818.10x = 644,070.50
  5. Step 5: Solve for x
    x = 644,070.50/818.10
  6. Step 6: Final answer
    x = 787.28

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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.