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Finding the Fourth Proportional to 1,005.48, 1,387.44 and 612.36

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Solution

The fourth proportional to 1,005.48, 1,387.44 and 612.36 is: 844.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.48 : 1,387.44 = 612.36 : x
  2. Step 2: Convert to fraction form
    1,005.48/1,387.44 = 612.36/x
  3. Step 3: Cross multiply
    1,005.48x = 1,387.44 × 612.36
  4. Step 4: Simplify right side
    1,005.48x = 849,612.76
  5. Step 5: Solve for x
    x = 849,612.76/1,005.48
  6. Step 6: Final answer
    x = 844.98

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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.