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Finding the Fourth Proportional to 1,001.07, 1,501.82 and 385.06

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Solution

The fourth proportional to 1,001.07, 1,501.82 and 385.06 is: 577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.07 : 1,501.82 = 385.06 : x
  2. Step 2: Convert to fraction form
    1,001.07/1,501.82 = 385.06/x
  3. Step 3: Cross multiply
    1,001.07x = 1,501.82 × 385.06
  4. Step 4: Simplify right side
    1,001.07x = 578,290.81
  5. Step 5: Solve for x
    x = 578,290.81/1,001.07
  6. Step 6: Final answer
    x = 577.67

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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.