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Finding the Fourth Proportional to 1,357.58, 2,035.64 and 479.90

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Solution

The fourth proportional to 1,357.58, 2,035.64 and 479.90 is: 719.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.58 : 2,035.64 = 479.90 : x
  2. Step 2: Convert to fraction form
    1,357.58/2,035.64 = 479.90/x
  3. Step 3: Cross multiply
    1,357.58x = 2,035.64 × 479.90
  4. Step 4: Simplify right side
    1,357.58x = 976,903.64
  5. Step 5: Solve for x
    x = 976,903.64/1,357.58
  6. Step 6: Final answer
    x = 719.59

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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.