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Finding the Fourth Proportional to 825.47, 1,139.06 and 530.51

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Solution

The fourth proportional to 825.47, 1,139.06 and 530.51 is: 732.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.47 : 1,139.06 = 530.51 : x
  2. Step 2: Convert to fraction form
    825.47/1,139.06 = 530.51/x
  3. Step 3: Cross multiply
    825.47x = 1,139.06 × 530.51
  4. Step 4: Simplify right side
    825.47x = 604,280.07
  5. Step 5: Solve for x
    x = 604,280.07/825.47
  6. Step 6: Final answer
    x = 732.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.