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Finding the Fourth Proportional to 959.65, 1,440.59 and 647.60

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Solution

The fourth proportional to 959.65, 1,440.59 and 647.60 is: 972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.65 : 1,440.59 = 647.60 : x
  2. Step 2: Convert to fraction form
    959.65/1,440.59 = 647.60/x
  3. Step 3: Cross multiply
    959.65x = 1,440.59 × 647.60
  4. Step 4: Simplify right side
    959.65x = 932,915.64
  5. Step 5: Solve for x
    x = 932,915.64/959.65
  6. Step 6: Final answer
    x = 972.14

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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.