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Finding the Fourth Proportional to 962.15, 1,443.06 and 442.13

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Solution

The fourth proportional to 962.15, 1,443.06 and 442.13 is: 663.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.15 : 1,443.06 = 442.13 : x
  2. Step 2: Convert to fraction form
    962.15/1,443.06 = 442.13/x
  3. Step 3: Cross multiply
    962.15x = 1,443.06 × 442.13
  4. Step 4: Simplify right side
    962.15x = 638,012.90
  5. Step 5: Solve for x
    x = 638,012.90/962.15
  6. Step 6: Final answer
    x = 663.12

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1.5x scale

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.