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Finding the Fourth Proportional to 1,005.09, 1,386.98 and 562.99

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Solution

The fourth proportional to 1,005.09, 1,386.98 and 562.99 is: 776.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.09 : 1,386.98 = 562.99 : x
  2. Step 2: Convert to fraction form
    1,005.09/1,386.98 = 562.99/x
  3. Step 3: Cross multiply
    1,005.09x = 1,386.98 × 562.99
  4. Step 4: Simplify right side
    1,005.09x = 780,855.87
  5. Step 5: Solve for x
    x = 780,855.87/1,005.09
  6. Step 6: Final answer
    x = 776.90

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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.