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Finding the Fourth Proportional to 1,005.14, 1,387.10 and 585.74

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Solution

The fourth proportional to 1,005.14, 1,387.10 and 585.74 is: 808.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.14 : 1,387.10 = 585.74 : x
  2. Step 2: Convert to fraction form
    1,005.14/1,387.10 = 585.74/x
  3. Step 3: Cross multiply
    1,005.14x = 1,387.10 × 585.74
  4. Step 4: Simplify right side
    1,005.14x = 812,479.95
  5. Step 5: Solve for x
    x = 812,479.95/1,005.14
  6. Step 6: Final answer
    x = 808.33

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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.