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Finding the Fourth Proportional to 1,021.34, 1,530.93 and 630.32

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Solution

The fourth proportional to 1,021.34, 1,530.93 and 630.32 is: 944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.34 : 1,530.93 = 630.32 : x
  2. Step 2: Convert to fraction form
    1,021.34/1,530.93 = 630.32/x
  3. Step 3: Cross multiply
    1,021.34x = 1,530.93 × 630.32
  4. Step 4: Simplify right side
    1,021.34x = 964,968.14
  5. Step 5: Solve for x
    x = 964,968.14/1,021.34
  6. Step 6: Final answer
    x = 944.81

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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.