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Finding the Fourth Proportional to 1,357.96, 2,036.64 and 384.04

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Solution

The fourth proportional to 1,357.96, 2,036.64 and 384.04 is: 575.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.96 : 2,036.64 = 384.04 : x
  2. Step 2: Convert to fraction form
    1,357.96/2,036.64 = 384.04/x
  3. Step 3: Cross multiply
    1,357.96x = 2,036.64 × 384.04
  4. Step 4: Simplify right side
    1,357.96x = 782,151.23
  5. Step 5: Solve for x
    x = 782,151.23/1,357.96
  6. Step 6: Final answer
    x = 575.98

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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.