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Finding the Fourth Proportional to 1,065.67, 1,470.57 and 593.51

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Solution

The fourth proportional to 1,065.67, 1,470.57 and 593.51 is: 819.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.67 : 1,470.57 = 593.51 : x
  2. Step 2: Convert to fraction form
    1,065.67/1,470.57 = 593.51/x
  3. Step 3: Cross multiply
    1,065.67x = 1,470.57 × 593.51
  4. Step 4: Simplify right side
    1,065.67x = 872,798.00
  5. Step 5: Solve for x
    x = 872,798.00/1,065.67
  6. Step 6: Final answer
    x = 819.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.