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Finding the Fourth Proportional to 710.55, 978.53 and 513.75

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Solution

The fourth proportional to 710.55, 978.53 and 513.75 is: 707.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.55 : 978.53 = 513.75 : x
  2. Step 2: Convert to fraction form
    710.55/978.53 = 513.75/x
  3. Step 3: Cross multiply
    710.55x = 978.53 × 513.75
  4. Step 4: Simplify right side
    710.55x = 502,719.79
  5. Step 5: Solve for x
    x = 502,719.79/710.55
  6. Step 6: Final answer
    x = 707.51

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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.