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Finding the Fourth Proportional to 1,065.51, 1,470.31 and 593.35

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Solution

The fourth proportional to 1,065.51, 1,470.31 and 593.35 is: 818.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.51 : 1,470.31 = 593.35 : x
  2. Step 2: Convert to fraction form
    1,065.51/1,470.31 = 593.35/x
  3. Step 3: Cross multiply
    1,065.51x = 1,470.31 × 593.35
  4. Step 4: Simplify right side
    1,065.51x = 872,403.28
  5. Step 5: Solve for x
    x = 872,403.28/1,065.51
  6. Step 6: Final answer
    x = 818.77

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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.