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Finding the Fourth Proportional to 1,057.32, 1,585.14 and 479.52

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Solution

The fourth proportional to 1,057.32, 1,585.14 and 479.52 is: 718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.32 : 1,585.14 = 479.52 : x
  2. Step 2: Convert to fraction form
    1,057.32/1,585.14 = 479.52/x
  3. Step 3: Cross multiply
    1,057.32x = 1,585.14 × 479.52
  4. Step 4: Simplify right side
    1,057.32x = 760,106.33
  5. Step 5: Solve for x
    x = 760,106.33/1,057.32
  6. Step 6: Final answer
    x = 718.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.