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Finding the Fourth Proportional to 1,066.40, 1,599.53 and 335.96

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Solution

The fourth proportional to 1,066.40, 1,599.53 and 335.96 is: 503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.40 : 1,599.53 = 335.96 : x
  2. Step 2: Convert to fraction form
    1,066.40/1,599.53 = 335.96/x
  3. Step 3: Cross multiply
    1,066.40x = 1,599.53 × 335.96
  4. Step 4: Simplify right side
    1,066.40x = 537,368.42
  5. Step 5: Solve for x
    x = 537,368.42/1,066.40
  6. Step 6: Final answer
    x = 503.91

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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.