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Finding the Fourth Proportional to 907.60, 1,359.24 and 646.96

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Solution

The fourth proportional to 907.60, 1,359.24 and 646.96 is: 968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.60 : 1,359.24 = 646.96 : x
  2. Step 2: Convert to fraction form
    907.60/1,359.24 = 646.96/x
  3. Step 3: Cross multiply
    907.60x = 1,359.24 × 646.96
  4. Step 4: Simplify right side
    907.60x = 879,373.91
  5. Step 5: Solve for x
    x = 879,373.91/907.60
  6. Step 6: Final answer
    x = 968.90

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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.