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Finding the Fourth Proportional to 1,051.35, 1,575.99 and 393.06

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Solution

The fourth proportional to 1,051.35, 1,575.99 and 393.06 is: 589.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.35 : 1,575.99 = 393.06 : x
  2. Step 2: Convert to fraction form
    1,051.35/1,575.99 = 393.06/x
  3. Step 3: Cross multiply
    1,051.35x = 1,575.99 × 393.06
  4. Step 4: Simplify right side
    1,051.35x = 619,458.63
  5. Step 5: Solve for x
    x = 619,458.63/1,051.35
  6. Step 6: Final answer
    x = 589.20

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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.