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Finding the Fourth Proportional to 1,301.74, 1,953.42 and 571.93

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Solution

The fourth proportional to 1,301.74, 1,953.42 and 571.93 is: 858.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.74 : 1,953.42 = 571.93 : x
  2. Step 2: Convert to fraction form
    1,301.74/1,953.42 = 571.93/x
  3. Step 3: Cross multiply
    1,301.74x = 1,953.42 × 571.93
  4. Step 4: Simplify right side
    1,301.74x = 1,117,219.50
  5. Step 5: Solve for x
    x = 1,117,219.50/1,301.74
  6. Step 6: Final answer
    x = 858.25

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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.