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Finding the Fourth Proportional to 1,310.99, 1,965.59 and 652.02

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Solution

The fourth proportional to 1,310.99, 1,965.59 and 652.02 is: 977.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.99 : 1,965.59 = 652.02 : x
  2. Step 2: Convert to fraction form
    1,310.99/1,965.59 = 652.02/x
  3. Step 3: Cross multiply
    1,310.99x = 1,965.59 × 652.02
  4. Step 4: Simplify right side
    1,310.99x = 1,281,614.22
  5. Step 5: Solve for x
    x = 1,281,614.22/1,310.99
  6. Step 6: Final answer
    x = 977.60

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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.