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Finding the Fourth Proportional to 841.12, 1,159.68 and 607.84

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Solution

The fourth proportional to 841.12, 1,159.68 and 607.84 is: 838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.12 : 1,159.68 = 607.84 : x
  2. Step 2: Convert to fraction form
    841.12/1,159.68 = 607.84/x
  3. Step 3: Cross multiply
    841.12x = 1,159.68 × 607.84
  4. Step 4: Simplify right side
    841.12x = 704,899.89
  5. Step 5: Solve for x
    x = 704,899.89/841.12
  6. Step 6: Final answer
    x = 838.05

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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.