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Finding the Fourth Proportional to 864.46, 1,295.88 and 702.46

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Solution

The fourth proportional to 864.46, 1,295.88 and 702.46 is: 1,053.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.46 : 1,295.88 = 702.46 : x
  2. Step 2: Convert to fraction form
    864.46/1,295.88 = 702.46/x
  3. Step 3: Cross multiply
    864.46x = 1,295.88 × 702.46
  4. Step 4: Simplify right side
    864.46x = 910,303.86
  5. Step 5: Solve for x
    x = 910,303.86/864.46
  6. Step 6: Final answer
    x = 1,053.03

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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.