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Finding the Fourth Proportional to 779.42, 1,074.75 and 530.25

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Solution

The fourth proportional to 779.42, 1,074.75 and 530.25 is: 731.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.42 : 1,074.75 = 530.25 : x
  2. Step 2: Convert to fraction form
    779.42/1,074.75 = 530.25/x
  3. Step 3: Cross multiply
    779.42x = 1,074.75 × 530.25
  4. Step 4: Simplify right side
    779.42x = 569,886.19
  5. Step 5: Solve for x
    x = 569,886.19/779.42
  6. Step 6: Final answer
    x = 731.17

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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.