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Finding the Fourth Proportional to 1,232.58, 1,700.68 and 784.58

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Solution

The fourth proportional to 1,232.58, 1,700.68 and 784.58 is: 1,082.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.58 : 1,700.68 = 784.58 : x
  2. Step 2: Convert to fraction form
    1,232.58/1,700.68 = 784.58/x
  3. Step 3: Cross multiply
    1,232.58x = 1,700.68 × 784.58
  4. Step 4: Simplify right side
    1,232.58x = 1,334,319.51
  5. Step 5: Solve for x
    x = 1,334,319.51/1,232.58
  6. Step 6: Final answer
    x = 1,082.54

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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.