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Finding the Fourth Proportional to 1,303.34, 1,955.68 and 997.16

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Solution

The fourth proportional to 1,303.34, 1,955.68 and 997.16 is: 1,496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.34 : 1,955.68 = 997.16 : x
  2. Step 2: Convert to fraction form
    1,303.34/1,955.68 = 997.16/x
  3. Step 3: Cross multiply
    1,303.34x = 1,955.68 × 997.16
  4. Step 4: Simplify right side
    1,303.34x = 1,950,113.60
  5. Step 5: Solve for x
    x = 1,950,113.60/1,303.34
  6. Step 6: Final answer
    x = 1,496.25

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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.