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Finding the Fourth Proportional to 1,265.16, 1,897.02 and 615.08

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Solution

The fourth proportional to 1,265.16, 1,897.02 and 615.08 is: 922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.16 : 1,897.02 = 615.08 : x
  2. Step 2: Convert to fraction form
    1,265.16/1,897.02 = 615.08/x
  3. Step 3: Cross multiply
    1,265.16x = 1,897.02 × 615.08
  4. Step 4: Simplify right side
    1,265.16x = 1,166,819.06
  5. Step 5: Solve for x
    x = 1,166,819.06/1,265.16
  6. Step 6: Final answer
    x = 922.27

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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.