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Finding the Fourth Proportional to 1,303.27, 1,954.84 and 470.35

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Solution

The fourth proportional to 1,303.27, 1,954.84 and 470.35 is: 705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.27 : 1,954.84 = 470.35 : x
  2. Step 2: Convert to fraction form
    1,303.27/1,954.84 = 470.35/x
  3. Step 3: Cross multiply
    1,303.27x = 1,954.84 × 470.35
  4. Step 4: Simplify right side
    1,303.27x = 919,458.99
  5. Step 5: Solve for x
    x = 919,458.99/1,303.27
  6. Step 6: Final answer
    x = 705.50

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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.