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Finding the Fourth Proportional to 959.53, 1,440.08 and 497.45

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Solution

The fourth proportional to 959.53, 1,440.08 and 497.45 is: 746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.53 : 1,440.08 = 497.45 : x
  2. Step 2: Convert to fraction form
    959.53/1,440.08 = 497.45/x
  3. Step 3: Cross multiply
    959.53x = 1,440.08 × 497.45
  4. Step 4: Simplify right side
    959.53x = 716,367.80
  5. Step 5: Solve for x
    x = 716,367.80/959.53
  6. Step 6: Final answer
    x = 746.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.