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Finding the Fourth Proportional to 915.26, 1,263.45 and 705.35

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Solution

The fourth proportional to 915.26, 1,263.45 and 705.35 is: 973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.26 : 1,263.45 = 705.35 : x
  2. Step 2: Convert to fraction form
    915.26/1,263.45 = 705.35/x
  3. Step 3: Cross multiply
    915.26x = 1,263.45 × 705.35
  4. Step 4: Simplify right side
    915.26x = 891,180.26
  5. Step 5: Solve for x
    x = 891,180.26/915.26
  6. Step 6: Final answer
    x = 973.70

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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.