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Finding the Fourth Proportional to 915.54, 1,261.58 and 705.74

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Solution

The fourth proportional to 915.54, 1,261.58 and 705.74 is: 972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.54 : 1,261.58 = 705.74 : x
  2. Step 2: Convert to fraction form
    915.54/1,261.58 = 705.74/x
  3. Step 3: Cross multiply
    915.54x = 1,261.58 × 705.74
  4. Step 4: Simplify right side
    915.54x = 890,347.47
  5. Step 5: Solve for x
    x = 890,347.47/915.54
  6. Step 6: Final answer
    x = 972.48

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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.