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Finding the Fourth Proportional to 1,051.15, 1,575.56 and 434.69

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Solution

The fourth proportional to 1,051.15, 1,575.56 and 434.69 is: 651.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.15 : 1,575.56 = 434.69 : x
  2. Step 2: Convert to fraction form
    1,051.15/1,575.56 = 434.69/x
  3. Step 3: Cross multiply
    1,051.15x = 1,575.56 × 434.69
  4. Step 4: Simplify right side
    1,051.15x = 684,873.39
  5. Step 5: Solve for x
    x = 684,873.39/1,051.15
  6. Step 6: Final answer
    x = 651.55

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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.