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Finding the Fourth Proportional to 1,500.53, 2,070.66 and 870.95

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Solution

The fourth proportional to 1,500.53, 2,070.66 and 870.95 is: 1,201.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.53 : 2,070.66 = 870.95 : x
  2. Step 2: Convert to fraction form
    1,500.53/2,070.66 = 870.95/x
  3. Step 3: Cross multiply
    1,500.53x = 2,070.66 × 870.95
  4. Step 4: Simplify right side
    1,500.53x = 1,803,449.77
  5. Step 5: Solve for x
    x = 1,803,449.77/1,500.53
  6. Step 6: Final answer
    x = 1,201.88

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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.