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Finding the Fourth Proportional to 1,045.32, 1,567.98 and 719.70

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Solution

The fourth proportional to 1,045.32, 1,567.98 and 719.70 is: 1,079.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.32 : 1,567.98 = 719.70 : x
  2. Step 2: Convert to fraction form
    1,045.32/1,567.98 = 719.70/x
  3. Step 3: Cross multiply
    1,045.32x = 1,567.98 × 719.70
  4. Step 4: Simplify right side
    1,045.32x = 1,128,475.21
  5. Step 5: Solve for x
    x = 1,128,475.21/1,045.32
  6. Step 6: Final answer
    x = 1,079.55

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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.