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Finding the Fourth Proportional to 1,047.23, 1,570.84 and 256.60

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Solution

The fourth proportional to 1,047.23, 1,570.84 and 256.60 is: 384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.23 : 1,570.84 = 256.60 : x
  2. Step 2: Convert to fraction form
    1,047.23/1,570.84 = 256.60/x
  3. Step 3: Cross multiply
    1,047.23x = 1,570.84 × 256.60
  4. Step 4: Simplify right side
    1,047.23x = 403,080.83
  5. Step 5: Solve for x
    x = 403,080.83/1,047.23
  6. Step 6: Final answer
    x = 384.90

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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.