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Finding the Fourth Proportional to 1,035.40, 1,551.12 and 1,000.66

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Solution

The fourth proportional to 1,035.40, 1,551.12 and 1,000.66 is: 1,499.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.40 : 1,551.12 = 1,000.66 : x
  2. Step 2: Convert to fraction form
    1,035.40/1,551.12 = 1,000.66/x
  3. Step 3: Cross multiply
    1,035.40x = 1,551.12 × 1,000.66
  4. Step 4: Simplify right side
    1,035.40x = 1,552,143.74
  5. Step 5: Solve for x
    x = 1,552,143.74/1,035.40
  6. Step 6: Final answer
    x = 1,499.08

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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.