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Finding the Fourth Proportional to 1,570.42, 2,356.05 and 474.82

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Solution

The fourth proportional to 1,570.42, 2,356.05 and 474.82 is: 712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.42 : 2,356.05 = 474.82 : x
  2. Step 2: Convert to fraction form
    1,570.42/2,356.05 = 474.82/x
  3. Step 3: Cross multiply
    1,570.42x = 2,356.05 × 474.82
  4. Step 4: Simplify right side
    1,570.42x = 1,118,692.88
  5. Step 5: Solve for x
    x = 1,118,692.88/1,570.42
  6. Step 6: Final answer
    x = 712.35

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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.