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Finding the Fourth Proportional to 1,265.76, 1,897.38 and 607.46

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Solution

The fourth proportional to 1,265.76, 1,897.38 and 607.46 is: 910.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.76 : 1,897.38 = 607.46 : x
  2. Step 2: Convert to fraction form
    1,265.76/1,897.38 = 607.46/x
  3. Step 3: Cross multiply
    1,265.76x = 1,897.38 × 607.46
  4. Step 4: Simplify right side
    1,265.76x = 1,152,572.97
  5. Step 5: Solve for x
    x = 1,152,572.97/1,265.76
  6. Step 6: Final answer
    x = 910.58

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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.