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Finding the Fourth Proportional to 975.85, 1,346.70 and 533.77

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Solution

The fourth proportional to 975.85, 1,346.70 and 533.77 is: 736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.85 : 1,346.70 = 533.77 : x
  2. Step 2: Convert to fraction form
    975.85/1,346.70 = 533.77/x
  3. Step 3: Cross multiply
    975.85x = 1,346.70 × 533.77
  4. Step 4: Simplify right side
    975.85x = 718,828.06
  5. Step 5: Solve for x
    x = 718,828.06/975.85
  6. Step 6: Final answer
    x = 736.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.