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Finding the Fourth Proportional to 1,500.32, 2,070.64 and 837.21

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Solution

The fourth proportional to 1,500.32, 2,070.64 and 837.21 is: 1,155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.32 : 2,070.64 = 837.21 : x
  2. Step 2: Convert to fraction form
    1,500.32/2,070.64 = 837.21/x
  3. Step 3: Cross multiply
    1,500.32x = 2,070.64 × 837.21
  4. Step 4: Simplify right side
    1,500.32x = 1,733,566.45
  5. Step 5: Solve for x
    x = 1,733,566.45/1,500.32
  6. Step 6: Final answer
    x = 1,155.47

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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.