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Finding the Fourth Proportional to 991.53, 1,492.38 and 872.46

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Solution

The fourth proportional to 991.53, 1,492.38 and 872.46 is: 1,313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.53 : 1,492.38 = 872.46 : x
  2. Step 2: Convert to fraction form
    991.53/1,492.38 = 872.46/x
  3. Step 3: Cross multiply
    991.53x = 1,492.38 × 872.46
  4. Step 4: Simplify right side
    991.53x = 1,302,041.85
  5. Step 5: Solve for x
    x = 1,302,041.85/991.53
  6. Step 6: Final answer
    x = 1,313.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.