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Finding the Fourth Proportional to 808.90, 1,210.84 and 530.93

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Solution

The fourth proportional to 808.90, 1,210.84 and 530.93 is: 794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.90 : 1,210.84 = 530.93 : x
  2. Step 2: Convert to fraction form
    808.90/1,210.84 = 530.93/x
  3. Step 3: Cross multiply
    808.90x = 1,210.84 × 530.93
  4. Step 4: Simplify right side
    808.90x = 642,871.28
  5. Step 5: Solve for x
    x = 642,871.28/808.90
  6. Step 6: Final answer
    x = 794.75

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