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Finding the Fourth Proportional to 1,232.02, 1,699.68 and 883.18

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Solution

The fourth proportional to 1,232.02, 1,699.68 and 883.18 is: 1,218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.02 : 1,699.68 = 883.18 : x
  2. Step 2: Convert to fraction form
    1,232.02/1,699.68 = 883.18/x
  3. Step 3: Cross multiply
    1,232.02x = 1,699.68 × 883.18
  4. Step 4: Simplify right side
    1,232.02x = 1,501,123.38
  5. Step 5: Solve for x
    x = 1,501,123.38/1,232.02
  6. Step 6: Final answer
    x = 1,218.42

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1.5x scale

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.