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Finding the Fourth Proportional to 1,037.18, 1,430.72 and 617.26

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Solution

The fourth proportional to 1,037.18, 1,430.72 and 617.26 is: 851.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.18 : 1,430.72 = 617.26 : x
  2. Step 2: Convert to fraction form
    1,037.18/1,430.72 = 617.26/x
  3. Step 3: Cross multiply
    1,037.18x = 1,430.72 × 617.26
  4. Step 4: Simplify right side
    1,037.18x = 883,126.23
  5. Step 5: Solve for x
    x = 883,126.23/1,037.18
  6. Step 6: Final answer
    x = 851.47

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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.