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Finding the Fourth Proportional to 851.40, 1,175.04 and 536.76

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Solution

The fourth proportional to 851.40, 1,175.04 and 536.76 is: 740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.40 : 1,175.04 = 536.76 : x
  2. Step 2: Convert to fraction form
    851.40/1,175.04 = 536.76/x
  3. Step 3: Cross multiply
    851.40x = 1,175.04 × 536.76
  4. Step 4: Simplify right side
    851.40x = 630,714.47
  5. Step 5: Solve for x
    x = 630,714.47/851.40
  6. Step 6: Final answer
    x = 740.80

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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.