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Finding the Fourth Proportional to 1,135.72, 1,703.01 and 587.74

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Solution

The fourth proportional to 1,135.72, 1,703.01 and 587.74 is: 881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.72 : 1,703.01 = 587.74 : x
  2. Step 2: Convert to fraction form
    1,135.72/1,703.01 = 587.74/x
  3. Step 3: Cross multiply
    1,135.72x = 1,703.01 × 587.74
  4. Step 4: Simplify right side
    1,135.72x = 1,000,927.10
  5. Step 5: Solve for x
    x = 1,000,927.10/1,135.72
  6. Step 6: Final answer
    x = 881.32

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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.