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Finding the Fourth Proportional to 1,005.63, 1,387.64 and 586.13

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Solution

The fourth proportional to 1,005.63, 1,387.64 and 586.13 is: 808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.63 : 1,387.64 = 586.13 : x
  2. Step 2: Convert to fraction form
    1,005.63/1,387.64 = 586.13/x
  3. Step 3: Cross multiply
    1,005.63x = 1,387.64 × 586.13
  4. Step 4: Simplify right side
    1,005.63x = 813,327.56
  5. Step 5: Solve for x
    x = 813,327.56/1,005.63
  6. Step 6: Final answer
    x = 808.77

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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.