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Finding the Fourth Proportional to 1,060, 1,461.45 and 870.25

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Solution

The fourth proportional to 1,060, 1,461.45 and 870.25 is: 1,199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060 : 1,461.45 = 870.25 : x
  2. Step 2: Convert to fraction form
    1,060/1,461.45 = 870.25/x
  3. Step 3: Cross multiply
    1,060x = 1,461.45 × 870.25
  4. Step 4: Simplify right side
    1,060x = 1,271,826.86
  5. Step 5: Solve for x
    x = 1,271,826.86/1,060
  6. Step 6: Final answer
    x = 1,199.84

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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.