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Finding the Fourth Proportional to 1,037.02, 1,430.78 and 617.16

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Solution

The fourth proportional to 1,037.02, 1,430.78 and 617.16 is: 851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.02 : 1,430.78 = 617.16 : x
  2. Step 2: Convert to fraction form
    1,037.02/1,430.78 = 617.16/x
  3. Step 3: Cross multiply
    1,037.02x = 1,430.78 × 617.16
  4. Step 4: Simplify right side
    1,037.02x = 883,020.18
  5. Step 5: Solve for x
    x = 883,020.18/1,037.02
  6. Step 6: Final answer
    x = 851.50

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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.