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Finding the Fourth Proportional to 1,528, 2,289.60 and 1,064.80

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Solution

The fourth proportional to 1,528, 2,289.60 and 1,064.80 is: 1,595.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528 : 2,289.60 = 1,064.80 : x
  2. Step 2: Convert to fraction form
    1,528/2,289.60 = 1,064.80/x
  3. Step 3: Cross multiply
    1,528x = 2,289.60 × 1,064.80
  4. Step 4: Simplify right side
    1,528x = 2,437,966.08
  5. Step 5: Solve for x
    x = 2,437,966.08/1,528
  6. Step 6: Final answer
    x = 1,595.53

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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.