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Finding the Fourth Proportional to 1,050.16, 1,575.40 and 366

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Solution

The fourth proportional to 1,050.16, 1,575.40 and 366 is: 549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.16 : 1,575.40 = 366 : x
  2. Step 2: Convert to fraction form
    1,050.16/1,575.40 = 366/x
  3. Step 3: Cross multiply
    1,050.16x = 1,575.40 × 366
  4. Step 4: Simplify right side
    1,050.16x = 576,596.40
  5. Step 5: Solve for x
    x = 576,596.40/1,050.16
  6. Step 6: Final answer
    x = 549.06

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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.