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Finding the Fourth Proportional to 1,051.32, 1,575.70 and 466.04

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Solution

The fourth proportional to 1,051.32, 1,575.70 and 466.04 is: 698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.32 : 1,575.70 = 466.04 : x
  2. Step 2: Convert to fraction form
    1,051.32/1,575.70 = 466.04/x
  3. Step 3: Cross multiply
    1,051.32x = 1,575.70 × 466.04
  4. Step 4: Simplify right side
    1,051.32x = 734,339.23
  5. Step 5: Solve for x
    x = 734,339.23/1,051.32
  6. Step 6: Final answer
    x = 698.49

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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.