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Finding the Fourth Proportional to 1,140.79, 1,572.86 and 952.01

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Solution

The fourth proportional to 1,140.79, 1,572.86 and 952.01 is: 1,312.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.79 : 1,572.86 = 952.01 : x
  2. Step 2: Convert to fraction form
    1,140.79/1,572.86 = 952.01/x
  3. Step 3: Cross multiply
    1,140.79x = 1,572.86 × 952.01
  4. Step 4: Simplify right side
    1,140.79x = 1,497,374.93
  5. Step 5: Solve for x
    x = 1,497,374.93/1,140.79
  6. Step 6: Final answer
    x = 1,312.58

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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.