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Finding the Fourth Proportional to 1,001.34, 1,502.07 and 384.96

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Solution

The fourth proportional to 1,001.34, 1,502.07 and 384.96 is: 577.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.34 : 1,502.07 = 384.96 : x
  2. Step 2: Convert to fraction form
    1,001.34/1,502.07 = 384.96/x
  3. Step 3: Cross multiply
    1,001.34x = 1,502.07 × 384.96
  4. Step 4: Simplify right side
    1,001.34x = 578,236.87
  5. Step 5: Solve for x
    x = 578,236.87/1,001.34
  6. Step 6: Final answer
    x = 577.46

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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.