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Finding the Fourth Proportional to 1,065.64, 1,598.56 and 335.33

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Solution

The fourth proportional to 1,065.64, 1,598.56 and 335.33 is: 503.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.64 : 1,598.56 = 335.33 : x
  2. Step 2: Convert to fraction form
    1,065.64/1,598.56 = 335.33/x
  3. Step 3: Cross multiply
    1,065.64x = 1,598.56 × 335.33
  4. Step 4: Simplify right side
    1,065.64x = 536,036.29
  5. Step 5: Solve for x
    x = 536,036.29/1,065.64
  6. Step 6: Final answer
    x = 503.02

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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.