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Finding the Fourth Proportional to 1,254.40, 1,881.63 and 560.91

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Solution

The fourth proportional to 1,254.40, 1,881.63 and 560.91 is: 841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.40 : 1,881.63 = 560.91 : x
  2. Step 2: Convert to fraction form
    1,254.40/1,881.63 = 560.91/x
  3. Step 3: Cross multiply
    1,254.40x = 1,881.63 × 560.91
  4. Step 4: Simplify right side
    1,254.40x = 1,055,425.08
  5. Step 5: Solve for x
    x = 1,055,425.08/1,254.40
  6. Step 6: Final answer
    x = 841.38

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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.