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Finding the Fourth Proportional to 1,270.68, 1,752.70 and 916.02

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Solution

The fourth proportional to 1,270.68, 1,752.70 and 916.02 is: 1,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.68 : 1,752.70 = 916.02 : x
  2. Step 2: Convert to fraction form
    1,270.68/1,752.70 = 916.02/x
  3. Step 3: Cross multiply
    1,270.68x = 1,752.70 × 916.02
  4. Step 4: Simplify right side
    1,270.68x = 1,605,503.24
  5. Step 5: Solve for x
    x = 1,605,503.24/1,270.68
  6. Step 6: Final answer
    x = 1,263.50

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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.