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Finding the Fourth Proportional to 1,004.64, 1,507.53 and 542.40

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Solution

The fourth proportional to 1,004.64, 1,507.53 and 542.40 is: 813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.64 : 1,507.53 = 542.40 : x
  2. Step 2: Convert to fraction form
    1,004.64/1,507.53 = 542.40/x
  3. Step 3: Cross multiply
    1,004.64x = 1,507.53 × 542.40
  4. Step 4: Simplify right side
    1,004.64x = 817,684.27
  5. Step 5: Solve for x
    x = 817,684.27/1,004.64
  6. Step 6: Final answer
    x = 813.91

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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.