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Finding the Fourth Proportional to 1,130.51, 1,560.24 and 688.38

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Solution

The fourth proportional to 1,130.51, 1,560.24 and 688.38 is: 950.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.51 : 1,560.24 = 688.38 : x
  2. Step 2: Convert to fraction form
    1,130.51/1,560.24 = 688.38/x
  3. Step 3: Cross multiply
    1,130.51x = 1,560.24 × 688.38
  4. Step 4: Simplify right side
    1,130.51x = 1,074,038.01
  5. Step 5: Solve for x
    x = 1,074,038.01/1,130.51
  6. Step 6: Final answer
    x = 950.05

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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.