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Finding the Fourth Proportional to 969.59, 1,337.93 and 549.86

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Solution

The fourth proportional to 969.59, 1,337.93 and 549.86 is: 758.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.59 : 1,337.93 = 549.86 : x
  2. Step 2: Convert to fraction form
    969.59/1,337.93 = 549.86/x
  3. Step 3: Cross multiply
    969.59x = 1,337.93 × 549.86
  4. Step 4: Simplify right side
    969.59x = 735,666.81
  5. Step 5: Solve for x
    x = 735,666.81/969.59
  6. Step 6: Final answer
    x = 758.74

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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.