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Finding the Fourth Proportional to 1,047, 1,570.52 and 316.48

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Solution

The fourth proportional to 1,047, 1,570.52 and 316.48 is: 474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047 : 1,570.52 = 316.48 : x
  2. Step 2: Convert to fraction form
    1,047/1,570.52 = 316.48/x
  3. Step 3: Cross multiply
    1,047x = 1,570.52 × 316.48
  4. Step 4: Simplify right side
    1,047x = 497,038.17
  5. Step 5: Solve for x
    x = 497,038.17/1,047
  6. Step 6: Final answer
    x = 474.73

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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.