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Finding the Fourth Proportional to 948.02, 1,420.17 and 730.52

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Solution

The fourth proportional to 948.02, 1,420.17 and 730.52 is: 1,094.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.02 : 1,420.17 = 730.52 : x
  2. Step 2: Convert to fraction form
    948.02/1,420.17 = 730.52/x
  3. Step 3: Cross multiply
    948.02x = 1,420.17 × 730.52
  4. Step 4: Simplify right side
    948.02x = 1,037,462.59
  5. Step 5: Solve for x
    x = 1,037,462.59/948.02
  6. Step 6: Final answer
    x = 1,094.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.