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Finding the Fourth Proportional to 1,303.74, 1,798.97 and 772.65

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Solution

The fourth proportional to 1,303.74, 1,798.97 and 772.65 is: 1,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.74 : 1,798.97 = 772.65 : x
  2. Step 2: Convert to fraction form
    1,303.74/1,798.97 = 772.65/x
  3. Step 3: Cross multiply
    1,303.74x = 1,798.97 × 772.65
  4. Step 4: Simplify right side
    1,303.74x = 1,389,970.31
  5. Step 5: Solve for x
    x = 1,389,970.31/1,303.74
  6. Step 6: Final answer
    x = 1,066.14

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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.