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Finding the Fourth Proportional to 916.52, 1,264.88 and 602.03

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Solution

The fourth proportional to 916.52, 1,264.88 and 602.03 is: 830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.52 : 1,264.88 = 602.03 : x
  2. Step 2: Convert to fraction form
    916.52/1,264.88 = 602.03/x
  3. Step 3: Cross multiply
    916.52x = 1,264.88 × 602.03
  4. Step 4: Simplify right side
    916.52x = 761,500.37
  5. Step 5: Solve for x
    x = 761,500.37/916.52
  6. Step 6: Final answer
    x = 830.87

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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.