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Finding the Fourth Proportional to 1,000.77, 1,501.16 and 351.35

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Solution

The fourth proportional to 1,000.77, 1,501.16 and 351.35 is: 527.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.77 : 1,501.16 = 351.35 : x
  2. Step 2: Convert to fraction form
    1,000.77/1,501.16 = 351.35/x
  3. Step 3: Cross multiply
    1,000.77x = 1,501.16 × 351.35
  4. Step 4: Simplify right side
    1,000.77x = 527,430.81
  5. Step 5: Solve for x
    x = 527,430.81/1,000.77
  6. Step 6: Final answer
    x = 527.03

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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.