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Finding the Fourth Proportional to 1,050.20, 1,448.64 and 630.32

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Solution

The fourth proportional to 1,050.20, 1,448.64 and 630.32 is: 869.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.20 : 1,448.64 = 630.32 : x
  2. Step 2: Convert to fraction form
    1,050.20/1,448.64 = 630.32/x
  3. Step 3: Cross multiply
    1,050.20x = 1,448.64 × 630.32
  4. Step 4: Simplify right side
    1,050.20x = 913,106.76
  5. Step 5: Solve for x
    x = 913,106.76/1,050.20
  6. Step 6: Final answer
    x = 869.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.