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Finding the Fourth Proportional to 1,005.10, 1,387.04 and 585.46

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Solution

The fourth proportional to 1,005.10, 1,387.04 and 585.46 is: 807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.10 : 1,387.04 = 585.46 : x
  2. Step 2: Convert to fraction form
    1,005.10/1,387.04 = 585.46/x
  3. Step 3: Cross multiply
    1,005.10x = 1,387.04 × 585.46
  4. Step 4: Simplify right side
    1,005.10x = 812,056.44
  5. Step 5: Solve for x
    x = 812,056.44/1,005.10
  6. Step 6: Final answer
    x = 807.94

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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.