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Finding the Fourth Proportional to 707.04, 975.96 and 510.48

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Solution

The fourth proportional to 707.04, 975.96 and 510.48 is: 704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.04 : 975.96 = 510.48 : x
  2. Step 2: Convert to fraction form
    707.04/975.96 = 510.48/x
  3. Step 3: Cross multiply
    707.04x = 975.96 × 510.48
  4. Step 4: Simplify right side
    707.04x = 498,208.06
  5. Step 5: Solve for x
    x = 498,208.06/707.04
  6. Step 6: Final answer
    x = 704.64

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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.