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Finding the Fourth Proportional to 787.07, 1,184.55 and 593.08

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Solution

The fourth proportional to 787.07, 1,184.55 and 593.08 is: 892.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.07 : 1,184.55 = 593.08 : x
  2. Step 2: Convert to fraction form
    787.07/1,184.55 = 593.08/x
  3. Step 3: Cross multiply
    787.07x = 1,184.55 × 593.08
  4. Step 4: Simplify right side
    787.07x = 702,532.91
  5. Step 5: Solve for x
    x = 702,532.91/787.07
  6. Step 6: Final answer
    x = 892.59

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.