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Finding the Fourth Proportional to 1,001.60, 1,499.78 and 707.51

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Solution

The fourth proportional to 1,001.60, 1,499.78 and 707.51 is: 1,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.60 : 1,499.78 = 707.51 : x
  2. Step 2: Convert to fraction form
    1,001.60/1,499.78 = 707.51/x
  3. Step 3: Cross multiply
    1,001.60x = 1,499.78 × 707.51
  4. Step 4: Simplify right side
    1,001.60x = 1,061,109.56
  5. Step 5: Solve for x
    x = 1,061,109.56/1,001.60
  6. Step 6: Final answer
    x = 1,059.41

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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.