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Finding the Fourth Proportional to 1,006.71, 1,509.59 and 373.28

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Solution

The fourth proportional to 1,006.71, 1,509.59 and 373.28 is: 559.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.71 : 1,509.59 = 373.28 : x
  2. Step 2: Convert to fraction form
    1,006.71/1,509.59 = 373.28/x
  3. Step 3: Cross multiply
    1,006.71x = 1,509.59 × 373.28
  4. Step 4: Simplify right side
    1,006.71x = 563,499.76
  5. Step 5: Solve for x
    x = 563,499.76/1,006.71
  6. Step 6: Final answer
    x = 559.74

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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.