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Finding the Fourth Proportional to 779.42, 1,074.76 and 530.24

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Solution

The fourth proportional to 779.42, 1,074.76 and 530.24 is: 731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.42 : 1,074.76 = 530.24 : x
  2. Step 2: Convert to fraction form
    779.42/1,074.76 = 530.24/x
  3. Step 3: Cross multiply
    779.42x = 1,074.76 × 530.24
  4. Step 4: Simplify right side
    779.42x = 569,880.74
  5. Step 5: Solve for x
    x = 569,880.74/779.42
  6. Step 6: Final answer
    x = 731.16

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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.