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Finding the Fourth Proportional to 959.51, 1,438.08 and 497.02

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Solution

The fourth proportional to 959.51, 1,438.08 and 497.02 is: 744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.51 : 1,438.08 = 497.02 : x
  2. Step 2: Convert to fraction form
    959.51/1,438.08 = 497.02/x
  3. Step 3: Cross multiply
    959.51x = 1,438.08 × 497.02
  4. Step 4: Simplify right side
    959.51x = 714,751.76
  5. Step 5: Solve for x
    x = 714,751.76/959.51
  6. Step 6: Final answer
    x = 744.92

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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.