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Finding the Fourth Proportional to 1,061.41, 1,464.75 and 595.63

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Solution

The fourth proportional to 1,061.41, 1,464.75 and 595.63 is: 821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.41 : 1,464.75 = 595.63 : x
  2. Step 2: Convert to fraction form
    1,061.41/1,464.75 = 595.63/x
  3. Step 3: Cross multiply
    1,061.41x = 1,464.75 × 595.63
  4. Step 4: Simplify right side
    1,061.41x = 872,438.74
  5. Step 5: Solve for x
    x = 872,438.74/1,061.41
  6. Step 6: Final answer
    x = 821.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.