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Finding the Fourth Proportional to 1,242.71, 1,715.16 and 870.23

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Solution

The fourth proportional to 1,242.71, 1,715.16 and 870.23 is: 1,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.71 : 1,715.16 = 870.23 : x
  2. Step 2: Convert to fraction form
    1,242.71/1,715.16 = 870.23/x
  3. Step 3: Cross multiply
    1,242.71x = 1,715.16 × 870.23
  4. Step 4: Simplify right side
    1,242.71x = 1,492,591.24
  5. Step 5: Solve for x
    x = 1,492,591.24/1,242.71
  6. Step 6: Final answer
    x = 1,201.08

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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.