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Finding the Fourth Proportional to 765.06, 1,145.74 and 530.14

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Solution

The fourth proportional to 765.06, 1,145.74 and 530.14 is: 793.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.06 : 1,145.74 = 530.14 : x
  2. Step 2: Convert to fraction form
    765.06/1,145.74 = 530.14/x
  3. Step 3: Cross multiply
    765.06x = 1,145.74 × 530.14
  4. Step 4: Simplify right side
    765.06x = 607,402.60
  5. Step 5: Solve for x
    x = 607,402.60/765.06
  6. Step 6: Final answer
    x = 793.93

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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.