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Finding the Fourth Proportional to 1,605.32, 2,407.41 and 565.10

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Solution

The fourth proportional to 1,605.32, 2,407.41 and 565.10 is: 847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.32 : 2,407.41 = 565.10 : x
  2. Step 2: Convert to fraction form
    1,605.32/2,407.41 = 565.10/x
  3. Step 3: Cross multiply
    1,605.32x = 2,407.41 × 565.10
  4. Step 4: Simplify right side
    1,605.32x = 1,360,427.39
  5. Step 5: Solve for x
    x = 1,360,427.39/1,605.32
  6. Step 6: Final answer
    x = 847.45

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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.