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Finding the Fourth Proportional to 1,007.93, 1,509.31 and 597.36

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Solution

The fourth proportional to 1,007.93, 1,509.31 and 597.36 is: 894.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.93 : 1,509.31 = 597.36 : x
  2. Step 2: Convert to fraction form
    1,007.93/1,509.31 = 597.36/x
  3. Step 3: Cross multiply
    1,007.93x = 1,509.31 × 597.36
  4. Step 4: Simplify right side
    1,007.93x = 901,598.43
  5. Step 5: Solve for x
    x = 901,598.43/1,007.93
  6. Step 6: Final answer
    x = 894.51

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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.