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Finding the Fourth Proportional to 1,303.49, 1,955.34 and 563.15

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Solution

The fourth proportional to 1,303.49, 1,955.34 and 563.15 is: 844.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.49 : 1,955.34 = 563.15 : x
  2. Step 2: Convert to fraction form
    1,303.49/1,955.34 = 563.15/x
  3. Step 3: Cross multiply
    1,303.49x = 1,955.34 × 563.15
  4. Step 4: Simplify right side
    1,303.49x = 1,101,154.61
  5. Step 5: Solve for x
    x = 1,101,154.61/1,303.49
  6. Step 6: Final answer
    x = 844.77

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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.