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Finding the Fourth Proportional to 592.76, 886.16 and 530.94

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Solution

The fourth proportional to 592.76, 886.16 and 530.94 is: 793.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.76 : 886.16 = 530.94 : x
  2. Step 2: Convert to fraction form
    592.76/886.16 = 530.94/x
  3. Step 3: Cross multiply
    592.76x = 886.16 × 530.94
  4. Step 4: Simplify right side
    592.76x = 470,497.79
  5. Step 5: Solve for x
    x = 470,497.79/592.76
  6. Step 6: Final answer
    x = 793.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.