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Finding the Fourth Proportional to 1,307.64, 1,804.54 and 776.79

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Solution

The fourth proportional to 1,307.64, 1,804.54 and 776.79 is: 1,071.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.64 : 1,804.54 = 776.79 : x
  2. Step 2: Convert to fraction form
    1,307.64/1,804.54 = 776.79/x
  3. Step 3: Cross multiply
    1,307.64x = 1,804.54 × 776.79
  4. Step 4: Simplify right side
    1,307.64x = 1,401,738.46
  5. Step 5: Solve for x
    x = 1,401,738.46/1,307.64
  6. Step 6: Final answer
    x = 1,071.96

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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.