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Finding the Fourth Proportional to 897.48, 1,346.68 and 829.83

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Solution

The fourth proportional to 897.48, 1,346.68 and 829.83 is: 1,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.48 : 1,346.68 = 829.83 : x
  2. Step 2: Convert to fraction form
    897.48/1,346.68 = 829.83/x
  3. Step 3: Cross multiply
    897.48x = 1,346.68 × 829.83
  4. Step 4: Simplify right side
    897.48x = 1,117,509.31
  5. Step 5: Solve for x
    x = 1,117,509.31/897.48
  6. Step 6: Final answer
    x = 1,245.16

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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.