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Finding the Fourth Proportional to 1,357.36, 2,034.64 and 535.30

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Solution

The fourth proportional to 1,357.36, 2,034.64 and 535.30 is: 802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.36 : 2,034.64 = 535.30 : x
  2. Step 2: Convert to fraction form
    1,357.36/2,034.64 = 535.30/x
  3. Step 3: Cross multiply
    1,357.36x = 2,034.64 × 535.30
  4. Step 4: Simplify right side
    1,357.36x = 1,089,142.79
  5. Step 5: Solve for x
    x = 1,089,142.79/1,357.36
  6. Step 6: Final answer
    x = 802.40

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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.