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Finding the Fourth Proportional to 916.70, 1,265.06 and 497.07

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Solution

The fourth proportional to 916.70, 1,265.06 and 497.07 is: 685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.70 : 1,265.06 = 497.07 : x
  2. Step 2: Convert to fraction form
    916.70/1,265.06 = 497.07/x
  3. Step 3: Cross multiply
    916.70x = 1,265.06 × 497.07
  4. Step 4: Simplify right side
    916.70x = 628,820.89
  5. Step 5: Solve for x
    x = 628,820.89/916.70
  6. Step 6: Final answer
    x = 685.96

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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.