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Finding the Fourth Proportional to 1,066.41, 1,471.67 and 587.93

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Solution

The fourth proportional to 1,066.41, 1,471.67 and 587.93 is: 811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.41 : 1,471.67 = 587.93 : x
  2. Step 2: Convert to fraction form
    1,066.41/1,471.67 = 587.93/x
  3. Step 3: Cross multiply
    1,066.41x = 1,471.67 × 587.93
  4. Step 4: Simplify right side
    1,066.41x = 865,228.65
  5. Step 5: Solve for x
    x = 865,228.65/1,066.41
  6. Step 6: Final answer
    x = 811.35

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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.