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Finding the Fourth Proportional to 1,004.79, 1,509.49 and 713.01

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Solution

The fourth proportional to 1,004.79, 1,509.49 and 713.01 is: 1,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.79 : 1,509.49 = 713.01 : x
  2. Step 2: Convert to fraction form
    1,004.79/1,509.49 = 713.01/x
  3. Step 3: Cross multiply
    1,004.79x = 1,509.49 × 713.01
  4. Step 4: Simplify right side
    1,004.79x = 1,076,281.46
  5. Step 5: Solve for x
    x = 1,076,281.46/1,004.79
  6. Step 6: Final answer
    x = 1,071.15

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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.