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Finding the Fourth Proportional to 1,310, 1,964.61 and 616.28

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Solution

The fourth proportional to 1,310, 1,964.61 and 616.28 is: 924.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310 : 1,964.61 = 616.28 : x
  2. Step 2: Convert to fraction form
    1,310/1,964.61 = 616.28/x
  3. Step 3: Cross multiply
    1,310x = 1,964.61 × 616.28
  4. Step 4: Simplify right side
    1,310x = 1,210,749.85
  5. Step 5: Solve for x
    x = 1,210,749.85/1,310
  6. Step 6: Final answer
    x = 924.24

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Why These Related Problems?

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