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Finding the Fourth Proportional to 594.55, 891.81 and 507.07

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Solution

The fourth proportional to 594.55, 891.81 and 507.07 is: 760.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.55 : 891.81 = 507.07 : x
  2. Step 2: Convert to fraction form
    594.55/891.81 = 507.07/x
  3. Step 3: Cross multiply
    594.55x = 891.81 × 507.07
  4. Step 4: Simplify right side
    594.55x = 452,210.10
  5. Step 5: Solve for x
    x = 452,210.10/594.55
  6. Step 6: Final answer
    x = 760.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.