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Finding the Fourth Proportional to 1,570.02, 2,355.03 and 415.77

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Solution

The fourth proportional to 1,570.02, 2,355.03 and 415.77 is: 623.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.02 : 2,355.03 = 415.77 : x
  2. Step 2: Convert to fraction form
    1,570.02/2,355.03 = 415.77/x
  3. Step 3: Cross multiply
    1,570.02x = 2,355.03 × 415.77
  4. Step 4: Simplify right side
    1,570.02x = 979,150.82
  5. Step 5: Solve for x
    x = 979,150.82/1,570.02
  6. Step 6: Final answer
    x = 623.66

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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.