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Finding the Fourth Proportional to 1,275.84, 1,913.88 and 454.08

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Solution

The fourth proportional to 1,275.84, 1,913.88 and 454.08 is: 681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.84 : 1,913.88 = 454.08 : x
  2. Step 2: Convert to fraction form
    1,275.84/1,913.88 = 454.08/x
  3. Step 3: Cross multiply
    1,275.84x = 1,913.88 × 454.08
  4. Step 4: Simplify right side
    1,275.84x = 869,054.63
  5. Step 5: Solve for x
    x = 869,054.63/1,275.84
  6. Step 6: Final answer
    x = 681.16

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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.