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Finding the Fourth Proportional to 1,065.65, 1,598.54 and 335.26

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Solution

The fourth proportional to 1,065.65, 1,598.54 and 335.26 is: 502.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.65 : 1,598.54 = 335.26 : x
  2. Step 2: Convert to fraction form
    1,065.65/1,598.54 = 335.26/x
  3. Step 3: Cross multiply
    1,065.65x = 1,598.54 × 335.26
  4. Step 4: Simplify right side
    1,065.65x = 535,926.52
  5. Step 5: Solve for x
    x = 535,926.52/1,065.65
  6. Step 6: Final answer
    x = 502.91

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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.