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Finding the Fourth Proportional to 1,004.40, 1,386.03 and 562.31

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Solution

The fourth proportional to 1,004.40, 1,386.03 and 562.31 is: 775.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.40 : 1,386.03 = 562.31 : x
  2. Step 2: Convert to fraction form
    1,004.40/1,386.03 = 562.31/x
  3. Step 3: Cross multiply
    1,004.40x = 1,386.03 × 562.31
  4. Step 4: Simplify right side
    1,004.40x = 779,378.53
  5. Step 5: Solve for x
    x = 779,378.53/1,004.40
  6. Step 6: Final answer
    x = 775.96

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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.