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Finding the Fourth Proportional to 1,135.68, 1,566.96 and 870.39

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Solution

The fourth proportional to 1,135.68, 1,566.96 and 870.39 is: 1,200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.68 : 1,566.96 = 870.39 : x
  2. Step 2: Convert to fraction form
    1,135.68/1,566.96 = 870.39/x
  3. Step 3: Cross multiply
    1,135.68x = 1,566.96 × 870.39
  4. Step 4: Simplify right side
    1,135.68x = 1,363,866.31
  5. Step 5: Solve for x
    x = 1,363,866.31/1,135.68
  6. Step 6: Final answer
    x = 1,200.92

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1.5x scale

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.