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Finding the Fourth Proportional to 1,001.40, 1,501.74 and 514.38

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Solution

The fourth proportional to 1,001.40, 1,501.74 and 514.38 is: 771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.40 : 1,501.74 = 514.38 : x
  2. Step 2: Convert to fraction form
    1,001.40/1,501.74 = 514.38/x
  3. Step 3: Cross multiply
    1,001.40x = 1,501.74 × 514.38
  4. Step 4: Simplify right side
    1,001.40x = 772,465.02
  5. Step 5: Solve for x
    x = 772,465.02/1,001.40
  6. Step 6: Final answer
    x = 771.39

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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.