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Finding the Fourth Proportional to 962.82, 1,444.32 and 530.28

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Solution

The fourth proportional to 962.82, 1,444.32 and 530.28 is: 795.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.82 : 1,444.32 = 530.28 : x
  2. Step 2: Convert to fraction form
    962.82/1,444.32 = 530.28/x
  3. Step 3: Cross multiply
    962.82x = 1,444.32 × 530.28
  4. Step 4: Simplify right side
    962.82x = 765,894.01
  5. Step 5: Solve for x
    x = 765,894.01/962.82
  6. Step 6: Final answer
    x = 795.47

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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.