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Finding the Fourth Proportional to 912.39, 1,259.51 and 702.50

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Solution

The fourth proportional to 912.39, 1,259.51 and 702.50 is: 969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.39 : 1,259.51 = 702.50 : x
  2. Step 2: Convert to fraction form
    912.39/1,259.51 = 702.50/x
  3. Step 3: Cross multiply
    912.39x = 1,259.51 × 702.50
  4. Step 4: Simplify right side
    912.39x = 884,795.96
  5. Step 5: Solve for x
    x = 884,795.96/912.39
  6. Step 6: Final answer
    x = 969.76

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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.