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Finding the Fourth Proportional to 1,113.60, 1,673.60 and 972.80

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Solution

The fourth proportional to 1,113.60, 1,673.60 and 972.80 is: 1,462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.60 : 1,673.60 = 972.80 : x
  2. Step 2: Convert to fraction form
    1,113.60/1,673.60 = 972.80/x
  3. Step 3: Cross multiply
    1,113.60x = 1,673.60 × 972.80
  4. Step 4: Simplify right side
    1,113.60x = 1,628,078.08
  5. Step 5: Solve for x
    x = 1,628,078.08/1,113.60
  6. Step 6: Final answer
    x = 1,462.00

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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.