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Finding the Fourth Proportional to 1,253.34, 1,728.54 and 990.90

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Solution

The fourth proportional to 1,253.34, 1,728.54 and 990.90 is: 1,366.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.34 : 1,728.54 = 990.90 : x
  2. Step 2: Convert to fraction form
    1,253.34/1,728.54 = 990.90/x
  3. Step 3: Cross multiply
    1,253.34x = 1,728.54 × 990.90
  4. Step 4: Simplify right side
    1,253.34x = 1,712,810.29
  5. Step 5: Solve for x
    x = 1,712,810.29/1,253.34
  6. Step 6: Final answer
    x = 1,366.60

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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.