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Finding the Fourth Proportional to 1,007.53, 1,510.07 and 429.19

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Solution

The fourth proportional to 1,007.53, 1,510.07 and 429.19 is: 643.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.53 : 1,510.07 = 429.19 : x
  2. Step 2: Convert to fraction form
    1,007.53/1,510.07 = 429.19/x
  3. Step 3: Cross multiply
    1,007.53x = 1,510.07 × 429.19
  4. Step 4: Simplify right side
    1,007.53x = 648,101.02
  5. Step 5: Solve for x
    x = 648,101.02/1,007.53
  6. Step 6: Final answer
    x = 643.26

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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.