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Finding the Fourth Proportional to 1,124.47, 1,678.19 and 1,060.48

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Solution

The fourth proportional to 1,124.47, 1,678.19 and 1,060.48 is: 1,582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.47 : 1,678.19 = 1,060.48 : x
  2. Step 2: Convert to fraction form
    1,124.47/1,678.19 = 1,060.48/x
  3. Step 3: Cross multiply
    1,124.47x = 1,678.19 × 1,060.48
  4. Step 4: Simplify right side
    1,124.47x = 1,779,686.93
  5. Step 5: Solve for x
    x = 1,779,686.93/1,124.47
  6. Step 6: Final answer
    x = 1,582.69

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.