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Finding the Fourth Proportional to 1,303.85, 1,955.95 and 482.70

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Solution

The fourth proportional to 1,303.85, 1,955.95 and 482.70 is: 724.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.85 : 1,955.95 = 482.70 : x
  2. Step 2: Convert to fraction form
    1,303.85/1,955.95 = 482.70/x
  3. Step 3: Cross multiply
    1,303.85x = 1,955.95 × 482.70
  4. Step 4: Simplify right side
    1,303.85x = 944,137.07
  5. Step 5: Solve for x
    x = 944,137.07/1,303.85
  6. Step 6: Final answer
    x = 724.11

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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.