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Finding the Fourth Proportional to 913.17, 1,370.09 and 522.93

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Solution

The fourth proportional to 913.17, 1,370.09 and 522.93 is: 784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.17 : 1,370.09 = 522.93 : x
  2. Step 2: Convert to fraction form
    913.17/1,370.09 = 522.93/x
  3. Step 3: Cross multiply
    913.17x = 1,370.09 × 522.93
  4. Step 4: Simplify right side
    913.17x = 716,461.16
  5. Step 5: Solve for x
    x = 716,461.16/913.17
  6. Step 6: Final answer
    x = 784.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.