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Finding the Fourth Proportional to 710.57, 979.53 and 500.06

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Solution

The fourth proportional to 710.57, 979.53 and 500.06 is: 689.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.57 : 979.53 = 500.06 : x
  2. Step 2: Convert to fraction form
    710.57/979.53 = 500.06/x
  3. Step 3: Cross multiply
    710.57x = 979.53 × 500.06
  4. Step 4: Simplify right side
    710.57x = 489,823.77
  5. Step 5: Solve for x
    x = 489,823.77/710.57
  6. Step 6: Final answer
    x = 689.34

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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.