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Finding the Fourth Proportional to 1,047.04, 1,567.36 and 718.72

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Solution

The fourth proportional to 1,047.04, 1,567.36 and 718.72 is: 1,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.04 : 1,567.36 = 718.72 : x
  2. Step 2: Convert to fraction form
    1,047.04/1,567.36 = 718.72/x
  3. Step 3: Cross multiply
    1,047.04x = 1,567.36 × 718.72
  4. Step 4: Simplify right side
    1,047.04x = 1,126,492.98
  5. Step 5: Solve for x
    x = 1,126,492.98/1,047.04
  6. Step 6: Final answer
    x = 1,075.88

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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.