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Finding the Fourth Proportional to 710.19, 978.75 and 513.36

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Solution

The fourth proportional to 710.19, 978.75 and 513.36 is: 707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.19 : 978.75 = 513.36 : x
  2. Step 2: Convert to fraction form
    710.19/978.75 = 513.36/x
  3. Step 3: Cross multiply
    710.19x = 978.75 × 513.36
  4. Step 4: Simplify right side
    710.19x = 502,451.10
  5. Step 5: Solve for x
    x = 502,451.10/710.19
  6. Step 6: Final answer
    x = 707.49

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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.