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Finding the Fourth Proportional to 1,575.05, 2,362.16 and 535.01

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Solution

The fourth proportional to 1,575.05, 2,362.16 and 535.01 is: 802.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.05 : 2,362.16 = 535.01 : x
  2. Step 2: Convert to fraction form
    1,575.05/2,362.16 = 535.01/x
  3. Step 3: Cross multiply
    1,575.05x = 2,362.16 × 535.01
  4. Step 4: Simplify right side
    1,575.05x = 1,263,768.75
  5. Step 5: Solve for x
    x = 1,263,768.75/1,575.05
  6. Step 6: Final answer
    x = 802.37

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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.