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Finding the Fourth Proportional to 717.36, 1,075.26 and 470.46

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Solution

The fourth proportional to 717.36, 1,075.26 and 470.46 is: 705.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.36 : 1,075.26 = 470.46 : x
  2. Step 2: Convert to fraction form
    717.36/1,075.26 = 470.46/x
  3. Step 3: Cross multiply
    717.36x = 1,075.26 × 470.46
  4. Step 4: Simplify right side
    717.36x = 505,866.82
  5. Step 5: Solve for x
    x = 505,866.82/717.36
  6. Step 6: Final answer
    x = 705.18

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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.