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Finding the Fourth Proportional to 1,098.71, 1,515.36 and 705.77

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Solution

The fourth proportional to 1,098.71, 1,515.36 and 705.77 is: 973.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.71 : 1,515.36 = 705.77 : x
  2. Step 2: Convert to fraction form
    1,098.71/1,515.36 = 705.77/x
  3. Step 3: Cross multiply
    1,098.71x = 1,515.36 × 705.77
  4. Step 4: Simplify right side
    1,098.71x = 1,069,484.52
  5. Step 5: Solve for x
    x = 1,069,484.52/1,098.71
  6. Step 6: Final answer
    x = 973.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.