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Finding the Fourth Proportional to 1,281.12, 1,768.53 and 783.98

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Solution

The fourth proportional to 1,281.12, 1,768.53 and 783.98 is: 1,082.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.12 : 1,768.53 = 783.98 : x
  2. Step 2: Convert to fraction form
    1,281.12/1,768.53 = 783.98/x
  3. Step 3: Cross multiply
    1,281.12x = 1,768.53 × 783.98
  4. Step 4: Simplify right side
    1,281.12x = 1,386,492.88
  5. Step 5: Solve for x
    x = 1,386,492.88/1,281.12
  6. Step 6: Final answer
    x = 1,082.25

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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.