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Finding the Fourth Proportional to 1,037.47, 1,430.61 and 664.46

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Solution

The fourth proportional to 1,037.47, 1,430.61 and 664.46 is: 916.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.47 : 1,430.61 = 664.46 : x
  2. Step 2: Convert to fraction form
    1,037.47/1,430.61 = 664.46/x
  3. Step 3: Cross multiply
    1,037.47x = 1,430.61 × 664.46
  4. Step 4: Simplify right side
    1,037.47x = 950,584.21
  5. Step 5: Solve for x
    x = 950,584.21/1,037.47
  6. Step 6: Final answer
    x = 916.25

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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.