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Finding the Fourth Proportional to 973.70, 1,460.54 and 829.10

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Solution

The fourth proportional to 973.70, 1,460.54 and 829.10 is: 1,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.70 : 1,460.54 = 829.10 : x
  2. Step 2: Convert to fraction form
    973.70/1,460.54 = 829.10/x
  3. Step 3: Cross multiply
    973.70x = 1,460.54 × 829.10
  4. Step 4: Simplify right side
    973.70x = 1,210,933.71
  5. Step 5: Solve for x
    x = 1,210,933.71/973.70
  6. Step 6: Final answer
    x = 1,243.64

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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.