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Finding the Fourth Proportional to 1,046.42, 1,569.65 and 316.00

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Solution

The fourth proportional to 1,046.42, 1,569.65 and 316.00 is: 474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.42 : 1,569.65 = 316.00 : x
  2. Step 2: Convert to fraction form
    1,046.42/1,569.65 = 316.00/x
  3. Step 3: Cross multiply
    1,046.42x = 1,569.65 × 316.00
  4. Step 4: Simplify right side
    1,046.42x = 496,009.78
  5. Step 5: Solve for x
    x = 496,009.78/1,046.42
  6. Step 6: Final answer
    x = 474.01

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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.