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Finding the Fourth Proportional to 1,303.26, 1,955.20 and 533.76

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Solution

The fourth proportional to 1,303.26, 1,955.20 and 533.76 is: 800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.26 : 1,955.20 = 533.76 : x
  2. Step 2: Convert to fraction form
    1,303.26/1,955.20 = 533.76/x
  3. Step 3: Cross multiply
    1,303.26x = 1,955.20 × 533.76
  4. Step 4: Simplify right side
    1,303.26x = 1,043,607.55
  5. Step 5: Solve for x
    x = 1,043,607.55/1,303.26
  6. Step 6: Final answer
    x = 800.77

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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.