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Finding the Fourth Proportional to 1,005.16, 1,387.08 and 612.42

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Solution

The fourth proportional to 1,005.16, 1,387.08 and 612.42 is: 845.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.16 : 1,387.08 = 612.42 : x
  2. Step 2: Convert to fraction form
    1,005.16/1,387.08 = 612.42/x
  3. Step 3: Cross multiply
    1,005.16x = 1,387.08 × 612.42
  4. Step 4: Simplify right side
    1,005.16x = 849,475.53
  5. Step 5: Solve for x
    x = 849,475.53/1,005.16
  6. Step 6: Final answer
    x = 845.11

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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.