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Finding the Fourth Proportional to 1,007.40, 1,510.02 and 596.46

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Solution

The fourth proportional to 1,007.40, 1,510.02 and 596.46 is: 894.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.40 : 1,510.02 = 596.46 : x
  2. Step 2: Convert to fraction form
    1,007.40/1,510.02 = 596.46/x
  3. Step 3: Cross multiply
    1,007.40x = 1,510.02 × 596.46
  4. Step 4: Simplify right side
    1,007.40x = 900,666.53
  5. Step 5: Solve for x
    x = 900,666.53/1,007.40
  6. Step 6: Final answer
    x = 894.05

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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.