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Finding the Fourth Proportional to 1,291.51, 1,937.06 and 560.89

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Solution

The fourth proportional to 1,291.51, 1,937.06 and 560.89 is: 841.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.51 : 1,937.06 = 560.89 : x
  2. Step 2: Convert to fraction form
    1,291.51/1,937.06 = 560.89/x
  3. Step 3: Cross multiply
    1,291.51x = 1,937.06 × 560.89
  4. Step 4: Simplify right side
    1,291.51x = 1,086,465.09
  5. Step 5: Solve for x
    x = 1,086,465.09/1,291.51
  6. Step 6: Final answer
    x = 841.24

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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.