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Finding the Fourth Proportional to 1,050.64, 1,575.62 and 357.18

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Solution

The fourth proportional to 1,050.64, 1,575.62 and 357.18 is: 535.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.64 : 1,575.62 = 357.18 : x
  2. Step 2: Convert to fraction form
    1,050.64/1,575.62 = 357.18/x
  3. Step 3: Cross multiply
    1,050.64x = 1,575.62 × 357.18
  4. Step 4: Simplify right side
    1,050.64x = 562,779.95
  5. Step 5: Solve for x
    x = 562,779.95/1,050.64
  6. Step 6: Final answer
    x = 535.66

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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.