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Finding the Fourth Proportional to 1,387.60, 1,914.95 and 798.14

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Solution

The fourth proportional to 1,387.60, 1,914.95 and 798.14 is: 1,101.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.60 : 1,914.95 = 798.14 : x
  2. Step 2: Convert to fraction form
    1,387.60/1,914.95 = 798.14/x
  3. Step 3: Cross multiply
    1,387.60x = 1,914.95 × 798.14
  4. Step 4: Simplify right side
    1,387.60x = 1,528,384.63
  5. Step 5: Solve for x
    x = 1,528,384.63/1,387.60
  6. Step 6: Final answer
    x = 1,101.46

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1.5x scale

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.