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Finding the Fourth Proportional to 1,037.71, 1,430.80 and 644.66

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Solution

The fourth proportional to 1,037.71, 1,430.80 and 644.66 is: 888.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.71 : 1,430.80 = 644.66 : x
  2. Step 2: Convert to fraction form
    1,037.71/1,430.80 = 644.66/x
  3. Step 3: Cross multiply
    1,037.71x = 1,430.80 × 644.66
  4. Step 4: Simplify right side
    1,037.71x = 922,376.13
  5. Step 5: Solve for x
    x = 922,376.13/1,037.71
  6. Step 6: Final answer
    x = 888.86

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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.